Darcy needs \(\frac{1}{4}\) yard of fabric to make a banner. 5/6 x 90 = 450/6 = 150/2 Then, you are at the correct place. Look for the first number where both 25 and 9 are a factor of. 71.916 is closer to 72 The GCF of 20 and 8 is 4. \(\frac{1}{9}\) = 0.111 15.375 is closer to 15 3/9 + 5 = 16/3 Bethlehem received 0.35 inches more snow than Altoona on Monday. 3.5 1.5 = 2, Question 14. Simplify using the GCF. Simplify using the GCF. We're willing to bet that doing these operations on whole numbers is a piece of cake, but now we'll mix those numbers up with decimals and fractions. 1 \(\frac{2}{9}\) = 11/9 = 1.222 \(\frac{1}{3}\) \(\frac{1}{4}\) = 45/2 3/2 = 45/3 = 15, Question 1. Simplify using the GCF. A rectangle is 2.8 meters wide and 3.5 meters long. Point D: 0.8, Explanation: Simplify using the GCF. Equivalent fractions. 3.7 The jogging track at Francines school is \(\frac{3}{4}\) mile long. \(\frac{}{}\), Explanation: More decimals worksheets. Simplifying a fraction implies reducing a fraction to its lowest form. __________, Answer: _____ \(\frac{}{}\). Now we will subtract the amount of food eaten by the dog from the amount of food initially to find the remaining amount of dog food. Four other cats each ate \(\frac{1}{3}\) cup of cat food. \(\frac{4}{7}\) = 0.571 \(\frac{1}{4} \times \frac{2}{3}\) = \(\frac{1 X 2}{4 X 3}\) = \(\frac{2}{12}\) Write the decimal form of \(\frac{4}{5}\) = 0.8 There are 60 minutes in an hour so multiply it by 60 and see if that gets you close to 350. 3/5 x 1/2 = 3/10 The mixed number consists of a whole number and a proper fraction. \(\frac{5}{6} \times \frac{3}{10}\) 10/0.5 = 20 ______, Explanation: What is the greatest number of packs she can make? Sara ran \(\frac{4}{5}\) of Jasons distance. Complete the table by finding the products. _____. Eva wanted to fill bags with \(\frac{3}{4}\) pounds of trail mix. Explain how you found your answer. After a picnic, \(\frac{5}{12}\) of the cornbread is left over. These bonus worksheets are available to members only. Type below: Math: Pre-K - 8th grade; Pre-K through grade 2 (Khan Kids) Early math review; 2nd grade; 3rd grade; 4th grade; 5th grade; 6th grade; 7th grade; 8th grade; See Pre-K - 8th grade Math; Math: Get ready courses; Get ready for 3rd grade; So, a triangle block shows 1/6. __________, Explanation: Math: Pre-K - 8th grade; Pre-K through grade 2 (Khan Kids) Early math review; 2nd grade; 3rd grade; 4th grade; 5th grade; 6th grade; 7th grade; 8th grade; See Pre-K - 8th grade Math; Math: Get ready courses; Get ready for 3rd grade; Write the decimal form of \(\frac{1}{4}\) = 0.25 \(\frac{19}{25}\) = 0.76, Question 7. They were on sale for $0.75 a pound. _____, Answer: Below are six versions of our grade 6 math worksheet on simplifying fractions; students are asked to rewrite the given proper fraction in the simplest form (smallest denominator). ______ hamburgers, Explanation: Multiply the numerators and Multiply the denominators. 4.8/16 = 0.3 Compare tenths: 45/4 / 3/4 = 45/4 4/3 = 180/12 = 15 1/6 = 0.166 is closer to 0.2 \(\frac{}{}\), Explanation: \(\frac{3 5}{4 9}\) = \(\frac{15}{36}\) (17/30)/3 = 17/90 (148-5)/6 = 143/6 = 23.83 feet Write the decimal form of \(\frac{7}{15}\) = 0.466 Type below: \(\frac{15}{16} \div \frac{1}{7}\) Options: Try it free! Evaluate Algebra Evaluate using the order of operations. Have fun playing this interactive online Simplifying Fractions Soccer Game. But she has written 5 instead of 20. In Cathys garden, \(\frac{5}{6}\) of the area is planted with flowers. The birch tree is the tallest. Integers: grades 6-7. x = 2 x 6 = 12 cups, Question 12. Let the length of 1 piece be x \(\frac{7}{15}\) and \(\frac{7}{10}\) What does the answer mean? So, \(\frac{11}{20}\) = 0.55, Explanation: Answer: Question 3. \(\frac{13}{20}\) = 0.65 So sharpen that pencil and relax in your chair; we're going for a ride! 0.86, 0.88, 0.9 $50.35/19 = $2.65, Question 1. ______, Explanation: Students must write in the missing numerator or denominator to make the fractions in each problem equal. Combining like terms is very often required in the process of simplifying equations. After Eric bought some fish, the total weight of the fish remaining in the tank was \(\frac{1}{2}\) lb. 0.33 < 0.39 Divide the total number of red pens by the total number of packs. \(\frac{1}{2}\) 3 x = 7/2 x 4/3 37 \(\frac{1}{2}\) \(\frac{3}{16}\) = 200 square meters, Question 2. Product: 0.1 After a picnic, \(\frac{5}{12}\) of the cornbread is left over. How much sand does she use for the project? Comparing fractions: Convert the fractions so they have a common denominator. The members are organized into 16 teams. _______, Explanation: Sophie has \(\frac{3}{4}\) quart of lemonade. \(\frac{3}{4}\) \(\frac{3}{8}\) = 3/4 1/8 = 3/4 x 8 = 6 Multiply the numerators and Multiply the denominators. Since 2 and 3 have no common factors except 1, 2/3 is the simplest form of 8/12. Niko bought 2 lb of dog treats. 4.8 Compare tenths: We observe the highest common factor of 8 and 16 is 8. Nassim completed \(\frac{18}{25}\) of the math homework. Type below: 1 13/15 = 28/15 = 1.8666 is closer to 1.9 The answer is 5.714285 \(\frac{}{}\), Explanation: 7/4 x 1/2 = 7/8 = 1 1/8 __________, Answer: _____ pounds, Explanation: So, 1/10 is the answer. These worksheets are pdf files. ladder rungs = 3/4 ft __________. n= 3/4 1/8 Divide the numerator and the denominator by 2. What is its thickness as a fraction? John had a roll containing wrapping paper = 24 2/3 = 74/3 Lee climbs \(\frac{4}{5}\) of Mias distance. \(\frac{18 6}{30 6}\) = \(\frac{3}{5}\), Question 4. 3/2 x = 3/2 1/2 = 1 mile _____ \(\frac{}{}\), Question 6. Question 17. Megan can make about 20 pennants. Take the edge off simplifying fractions with printable worksheets for 4th grade, 5th grade, and 6th grade! Simplifying expressions Use real-life examples of simplifying fractions. 7.777 is closer to 8 Example 1: Sally loves growing flowers in her garden. How much time did it take Tyler to write the report? \(\frac{55 5}{1000 5}\) = \(\frac{11}{200}\), Explanation: What fraction of the group are boys with brown eyes? _____, Answer: The GCF of 6 and 24 is 6. One student brings \(\frac{1}{2}\) yd of ribbon. EUPOL COPPS (the EU Coordinating Office for Palestinian Police Support), mainly through these two sections, assists the Palestinian Authority in building its institutions, for a future Palestinian state, focused on security and justice sector reforms. Simplify using the GCF. \(14 \frac{7}{8} \div \frac{5}{11}\) The pattern is multiplied by 2 every time. Type below: __________, Question 2. Divide the numerator and the denominator by 25 \(\frac{}{}\), Explanation: Integers: grades 6-7. Perry will have to run 9 laps to reach his goal. 10 \(\frac{1}{2}\) = 5 The highest common factor of 8 and 24 is 8. __________, Answer: Explore the entire 7th grade math curriculum: ratios, percentages, exponents, and more. Will each of them have enough ribbon for a purse? He uses \(\frac{2}{3}\) of the oatmeal to bake muffins. \(1 \frac{1}{4}, 1 \frac{2}{3}, \frac{11}{12}\) 3d. Use division to rename the fraction part as a decimal. \(\frac{8 2}{10 2}\) = \(\frac{4}{5}\), Explanation: Compare tenths: 2.5, 2.4, 2.35, 2.125 Divide the numerator and the denominator by 4. 8/0.5 = 16, Question 5. 2 \(\frac{1}{4}\) \(\frac{3}{4}\) = 9/4 3/4 = 3, Question 1. View in browser Create PDF One-step equations, the root may be negative (grade 7). \(\frac{}{}\), Answer: (1 5/6)/(1 2/9) = (11/6)/11/9 = 3/2 = 1 1/2 = 1.5 Use division to rename the fraction part as a decimal. $0.75 x 2.3 = 1.725 Mrs. Brown has \(\frac{1}{3}\) yd of blue denim and \(\frac{1}{2}\) yd of black denim. \(\frac{}{}\) pounds, Explanation: Brad and Wes are building a tree house. Given that One-fourth of the guppies are red. If it is 5 or greater, round up. Question 2. 1/3 = 0.333 How much farther did she hike in the morning than in the afternoon? Include the solution. \(\frac{1}{7}\) = 0.1428 Least to greatest : 3.7, 3 \(\frac{4}{5}\), 3 \(\frac{7}{8}\), Question 2. Let the total number of fish in Garys fish tank be x. Simplify using the GCF. Altoona received an additional 0.3 inch of snow on Thursday = 4.6 + 0.3 = 4.9 2 + 0.2 = 2.2. there are 15 servings, Question 3. \(\frac{1}{3}\) + \(\frac{4}{9}\) = \(\frac{7}{9}\) Math worksheets: Finding equivalent fractions. 3/4 = 0.75 Grace sold \(\frac{5}{8}\) of her stamp collection. 6 triangle blocks are equal to 1 hexagon. (21/10) (6/5) = 7/4 or 1 3/4, Question 13. The highest common factor of 11 and 33 is 11. The table shows Tonyas homework assignment. 45 hundredths = \(\frac{45}{100}\) Combine Like Terms Question 19. _____, Question 5. \(\frac{}{}\), Explanation: She plans to divide the paint equally into jars. 2 hundredths = \(\frac{2}{100}\) Maria wants to find the product of 5 \(\frac{3}{20}\) 3 \(\frac{4}{25}\) using decimals instead of fractions. What fraction of the group are boys with brown eyes? Question 2. Each one gets 1/18 of the original pizza: but this in turn leaves 1/6 of the 2/3 leftover. Simplify using the GCF. 4 1/2 = 9/2 Let's start dividing by 2, then 8/24 = (8/2)/(24/2) = 4/12. \(3 \frac{1}{3} \div \frac{1}{3}\) 1 1/16 = 15/16 We will express the numerator and denominator as the product of numbers and then cancel out the common numbers. Type below: How are your models alike? 0.4545 is closer to 0.5 4d. 2a. Multiply the numerators and Multiply the denominators. It consists of adding, subtracting, multiplying, and dividing numbers. The quotient has 3 decimal places. Point B \(\frac{}{}\), Explanation: \(\frac{}{}\), Explanation: __________, Explanation: 3.666 is closer to 4 This collection covers simplifying, multiplying, and dividing fractions; fractions to decimals; ratios and fractions; and finding a fractional part of a group of objects. 1/0.2 = 5, Question 3. Welcome to 6th Grade math help from MathHelp.com. Debbie completed \(\frac{5}{8}\) of it. \(\frac{4}{9}\) \(\frac{1}{2}\) = 4/18 = 2/9 \(\frac{}{}\), Explanation: In Cathys garden, \(\frac{5}{6}\) of the area is planted with flowers. Show two ways to multiply \(\frac{2}{15} \times \frac{3}{20}\). With this lesson you will learn about: What is its area? Yes, Question 5. 1\(\frac{1}{10}\), 1.25, 1\(\frac{4}{5}\), Explanation: What is this amount as a mixed number in simplest form? 0.27 is 0 ones and 27 hundredths. 2 \(\frac{4}{5}\) = 14/5 = 2.8 \(\frac{2}{5}\) \(\frac{1}{20}\) = 2/5 20 = 8, Question 3. Two of the trees are the same height. More decimals worksheets. Sarahs craft project uses pieces of yarn that are \(\frac{1}{8}\) yard long. Gina bought 2.3 pounds of red apples and 2.42 pounds of green apples. 5th Grade. So, 4 \(\frac{13}{20}\) = 4.65, Explanation: He mixes them together and divides them equally among 18 bags. 1 1/3 hours = 4/3 hours Write the decimal form of \(\frac{7}{10}\) = 0.7 How can she rewrite the problem using decimals? Divide the numerator and the denominator by 3. Missing Parts of Multiple Equivalent Fractions. 19 \(\frac{8}{9}\) = 179/9 = 19.888 (27/4)/3 A tree grows 1 3/4 = 7/4 feet per year. Six hikers shared 4 \(\frac{1}{2}\) lb of trail mix. Allow learners to work on hands-on activities including rectangular or circular fraction models to arrive at an understanding that 2/4 is the same as 1/2. Answer: __________, Point A is between 0 and 0.5. Decimals: grade 5 This set of videos covers ALL of decimal arithmetic. Sam and his friends ate 3 \(\frac{3}{4}\) bags of fruit snacks. \(\frac{2}{3} \times \frac{1}{8}\) Box B contains 5 books, Question 17. \(\frac{29 28}{7 9}\) = \(\frac{812}{63}\) Describe Niko bought 2 lb of dog treats. Type below: Dan has a board that is \(\frac{15}{16}\) yd. 11 and 3/8-1/8=11 and 2/8=11 and 1/4 The quotient has 3 decimal places. Step 3: We will write the value obtained in step 2 over the denominator. __________, Explanation: This means that the first package with both will be the 225th package. The fraction so obtained is in the simplest form. __________, Question 1. Comprehensive Common Core Grade 8 Math Practice Book 2020 2021 Complete Coverage of all Common Core Grade 8 Math Concepts + 2 Full-Length Common Core Grade 8 Math Tests $ 19.99 $ 14 .99 Download ______, Question 9. Therefore, the simplified form of the improper fraction 11/4 is \(2\dfrac{3}{4}\). Minni raked 1/5 of the yard. Divide the numerator and the denominator by 5. Emma wants to divide it evenly among 3 bird feeders. 27 \(\frac{8}{9}\) = 251/9 = 27.888 Go Math Grade 6 Chapter 2 Fractions and Decimals Solution Key helps you to assess your preparation level. So, Megan can make about _____ pennants. \(29 \frac{4}{5} \div 5 \frac{1}{6}\) _______ \(27 \frac{8}{9} \div 6 \frac{5}{8}\), Answer: \(\frac{3}{8}\) of the pets in the pet show are dogs. 2.2/2 = 1.1 = 11/10 = 1 1/10, Question 8. The store would earn 9.75$ because 3 bags of gerbil food is sold. The quotient has 2 decimal places. Members of the Ozark Trail Hiking Club hiked a steep section of the trail in June and July. 123, Divide Mixed Numbers Lesson Check 1 Page No. The GCF of 2 and 18 is 2. __________, Question 15. 2 \(\frac{1}{4}\) = 9/4 = 2.25 \(\frac{1}{2}\) = 0.5 Simplify using the GCF. Simplify using the GCF. \(\frac{1}{4}\) are dogs with long hair, Explanation: So, for 6 pounds, Type below: 7. \(3 \frac{1}{3} \div \frac{1}{6}\) \(2 \frac{1}{3} \div \frac{1}{6}\) = 7/3 1/6 = 14. Explain. \(\frac{3}{4}\) 2 = Suppose the mixed number is $2\frac{1}{3}$. __________, Answer: 25 thousandths = \(\frac{25}{1000}\) __________, Explanation: Get All the questions, answers along with explanations. x bags = 45/4 4/3 = 15 bags Type below: If 3 students receive an equal length of the ribbon, Yes No 4.8 is 4 ones and 8 tenths. \(\frac{2}{3}\) of the dogs have long hair. Simplify using the GCF. He worked Monday through Friday, 8 hours a day. These worksheets are pdf files. ______ \(\frac{}{}\), Explanation: \(\frac{1}{2}\) \(\frac{1}{6}\) = \(\frac{1}{12}\), Question 6. Eliza opens a box of bead kits. Each ate some seeds. So, a triangle block shows 1/6. Math worksheets: Adding fractions with different denominators. Get the exact online tutoring and homework help you need. So, 6 \(\frac{7}{8}\) = 6.875. If one scoop of sand weighs \(\frac{1}{20}\) lb, how many scoops of sand can Maria get from the class supplies and still leave \(\frac{1}{2}\) lb in the supplies? So, 1 1/2 + 1/4 cups of flour to make the original recipe. Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. __________, Answer: __________. How many \(\frac{1}{3}\) lb bags of trail mix can Josh make from \(\frac{5}{6}\) lb of trail mix? The total weight of the fish in a tank of tropical fish at Fish n Fur was \(\frac{7}{8}\) lb. __________. Number of pictures = (143/8) (17/5) = 715/136 = 5.28 2/15 X 3/20 = 2/20 X 3/15 = 1/10 X 1/5 = 1/50. 1.222 is closer to 1 Explanation: Fraction division: Find the reciprocal of the divisor, and multiply by it. Type below: \(2 \frac{1}{2} \div 2 \frac{1}{3}\) Compare tenths: 3.375 < 3.45. How many ladder rungs can she cut? Let the distance covered by walking be = y 5.75/4.5 = 1.27 = 1 27/100, Question 6. 3 \(\frac{24}{48}\) < 3 \(\frac{30}{48}\) Math worksheets: Adding fractions with different denominators. Type below: 2nd Grade. Can you express this fraction in the simplest form? Simplifying expressions Question 12. 5/12 = 0.4166 is closer to 0.6 Explanation: An apple juice the container had 14 1/2 =14.25 Question 10. \(\frac{5}{6}\) \(\frac{2}{1}\) = \(\frac{5}{3}\), Question 4. Debbie completed \(\frac{5}{8}\) of it. Type below: Divide the numerator and the denominator by 15. The GCF of 12 and 3 is 4. Math worksheets: Equivalent fractions (2 fractions) Below are six versions of our grade 6 math worksheet on equivalent fractions; students find the missing numbers to make the 2 fractions shown equivalent.. (27/4)(1/3) = 27/12. 6.25 is closer to 6 \(\frac{}{}\), Explanation: Ratios and proportions: grades 6-7. distance covered by running = 1/3 of the total distance If it is less than 5, round down. Tabithas hiking distance in July was 2 \(\frac{1}{5}\) miles. The number of jars in which she plans to to divide the paint equally is given by, 3rd Grade. \(\frac{1}{12}\), Question 4. Kaden estimates that one serving is \(\frac{3}{4}\) ounce. Caras muffin recipe asks for 1 \(\frac{1}{2}\) cups of flour for the muffins and \(\frac{1}{4}\) cup of flour for the topping. __________, Explanation: $15.30 is divided among 15 students. Show how you found your answer. Hassan eats trail mix for 10 days before he runs out. Here, 6 + 1 = 7. Altoona received 0.1 inches more snow than Bethlehem on Thursday, Explanation: So, \(2 \frac{1}{2} \div \frac{1}{6}\) = 15. \(55 \frac{5}{6} \div 6 \frac{7}{10}\) _______ \(11 \frac{5}{7} \div \frac{5}{8}\), Answer: 3 \(\frac{1}{3}\) = 10/3 = 3.333 Of the students who have pets, \(\frac{1}{8}\) have rodents. Type below: 0.02 is 2 hundredths. So, about 3 pieces, Question 11. Explain how to draw a model that represents \(\left(1 \frac{1}{4}-\frac{1}{2}\right) \div \frac{1}{8}\). There are 15 triangle blocks. problem and check your answer with the step-by-step explanations. Lesson 2: Compare and Order Fractions and Decimals, Lesson 5: Investigate Model Fraction Division, Lesson 8: Investigate Model Mixed Number Division, Lesson 10: Problem Solving Fraction Operations. 3 \(\frac{5}{8}\) = 29/8 = 3.625 Two-fifths of the fish in Garys fish tank are guppies. The GCF of 15 and 60 is 15. _____, Explanation: Jordan answer is wrong, Question 1. The GCF of 12 and 80 is 4. Rexs goal is to run 13 \(\frac{3}{4}\) miles over 5 days. 0 + 0.375 = 0.375. In Zoes class, \(\frac{4}{5}\) of the students have pets. What fraction of the test, in simplest form, did you answer correctly? Hence, Francine walked for 1 mile. b. \(\frac{}{}\) Use a number line to order from least to greatest. Write the decimal form of 2 \(\frac{1}{8}\) = 2.125 How many toffees did each one get? Question 18. \(\frac{2 1}{3 8}\) = \(\frac{2}{24}\) Type below: Explanation: Question 1. Each flag uses 2 \(\frac{3}{4}\) yards of felt. _____ seconds, Explanation: __________. 3 \(\frac{3}{4}\) x 2 \(\frac{1}{2}\) How is estimating quotients different from estimating products? Estimate the number of pieces Sharon will have if she divides 15 \(\frac{1}{3}\) yards of fabric into 4 \(\frac{4}{5}\) yard lengths. 40/ (2 2/3) = 40 / (8/3) = 40 3/8 = 120/8 = 15 baskets, Question 10. __________, Explanation: How will you use the information in the table to solve the problem? 0.45 is 0 ones and 45 hundredths. 0.75 = 0.75 100, Estimate Quotients Lesson Check Page No. 30 \(\frac{7}{9}\) = 277/9 = 30.777 \(2 \frac{1}{5} \div 2\) \(\left(\frac{3}{4}-\frac{1}{2}\right) \times \frac{3}{5}\) Estimate: 0.02 Box A contains 5 + 4 = 9 books The table shows the distances club members hiked in miles. ___________. \(\frac{2}{3}\) of a pizza was left over. 2 1/2 = 5/2 = 2.5 3 7/36 is the answer. Download & Print Only $4.90. 0.571 is closer to 0.5 _______ pieces, Explanation: 6 hikers = 4.5 lbs of trail mix In other words, we have to make sure that the numerator and denominator should be co-prime numbers. Type below: 3/4 = 0.75 \(\frac{18}{22} \times \frac{8}{9}\) Five cats each ate \(\frac{1}{4}\) cup of cat food. Write the decimal form of 5 \(\frac{5}{9}\) = 5.555 Fractions & Decimals Worksheets for Grade 3, introductory fraction and decimal concepts, Identify fractions - color in the fraction, Equivalent fractions - color in the fraction, Equivalent fractions (numerators missing), Equivalent fractions (numerators or denominators missing), Compare 2 fractions, different denominators, Comparing fractions (unlike denominators), Simplifying fractions (proper and improper fractions), Adding like fractions - denominators from 2-12, Completing whole numbers (improper fractions), Subtracting like fractions (denominators 2-12), Subtracting improper fractions (like denominators), Subtracting a fraction from a mixed number, Subtract a mixed number from a whole number, Subtract mixed numbers (like denominators), Subtract 1-digit decimals from whole numbers. For numbers 3a3d, select True or False for each statement. How many purses can be made using denim as the main fabric? 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