Fractions and Mixed Numbers

Transcription

1 6 CHAPTER Fractions and Mixed Numbers Worksheet Adding Fractions Find the equivalent fraction. Shade the models. _? 6. _?.? Reteach A

2 Find the equivalent fractions. To get the equivalent fraction, multiply both the numerator and the denominator by the same number Chapter 6 Lesson 6.

3 Find the equivalent fractions. Complete the model by shading the correct number of parts. Then add the fractions.? Step Change the denominator of to. Step Add the like fractions. 7. Reteach A

4 . _ Complete the models. Then add the fractions. _? _ So, _. Chapter 6 Lesson 6.

5 . 0. Reteach A

6 Express each fraction in simplest form. _ To simplify a fraction, divide both the numerator and the denominator by the same number.... _ 6 _ A fraction is in its simplest form when the numerator and the denominator cannot both be divided by the same number. 6 Chapter 6 Lesson 6.

7 Add. Express each answer in simplest form.?? So,. To add like fractions, add the numerators.. _ 7 _ 7 _ 7 7?. 6. _ 7? Reteach A 7

8 7. _ 0 0 _ 0 _ Chapter 6 Lesson 6.

9 Worksheet Subtracting Fractions Find the equivalent fraction. Complete the model by shading the correct number of parts. 6 _ 6. _. _ Reteach A

10 Subtract. Express each answer in simplest form. _ 6 _ 6 6 6? 6 To subtract like fractions, subtract the numerators.?.. _ 0 7_ ? Chapter 6 Lesson 6.

11 Complete the models by shading the correct number of parts. Then subtract the fractions. 7? Step Change the denominator of _ to, so that it has the same denominator as 7_. 6 Step Subtract the like fractions So, Reteach A 6

12 7. _ Find the equivalent fractions. Then subtract. 7? 7 7_ 6 6 So, 7 _.. 7_ 0 7_ Chapter 6 Lesson 6.

13 . 7 7_ 0. 6 _ 6 Reteach A 6

14 Complete the models. Then subtract.? So,... _ 0 _ 0 6 Chapter 6 Lesson 6.

15 Find each difference. Express your answer in simplest form.? So, _.. _ 7 7 Reteach A 6

16 . _. 0 _ 0 66 Chapter 6 Lesson 6.

17 Worksheet Mixed Numbers Shade the model to show each mixed number. _? whole whole So, _. When you add a whole number and a fraction, you get a mixed number. is a mixed number... whole _ whole whole Reteach A 67

18 Find the mixed number that describes each model. whole whole ninths. whole whole whole fifths. whole whole 7 twelfths Write each mixed number on the number line. _ 0 6 Chapter 6 Lesson 6.

19 . _ 6. _ 7. _ 0 Express each mixed number in simplest form. _? Method Draw models. Method Divide the numerator and the denominator by the same number. So,. So,.. _. 6_ Reteach A 6

20 Find the number of wholes and parts that are shaded. Then write each sum as a mixed number in simplest form Chapter 6 Lesson 6.

21 Worksheet Improper Fractions Write each description as a fraction. third. quarters. fifths. sixths. 6 eighths. 7 tenths Express each mixed number as an improper fraction. _? whole thirds There are thirds in _. _ thirds _ An improper fraction is equal to or greater than. _ is an improper fraction. So,. Reteach A 7

22 6. _ wholes halves _ half There are halves in _. _ 7. _ whole quarters There are quarters in _. _ quarters _ 7 Chapter 6 Lesson 6.

23 Express each mixed number as an improper fraction. Use the models to help you. How many thirds are there in _? There are 7 thirds in _. _ 7 thirds 7. How many sixths are there in _ 6? There are sixths in _ 6. _ 6 sixths. How many eighths are there in _? There are eighths in _. _ eighths Reteach A 7

24 Express each improper fraction in simplest form. 6_? Method Simplify the fractions shown by the shaded parts. 6_ Method Divide the numerator and the denominator by the same number. _ 6 So, _. _. 0 _. _ 6 7 Chapter 6 Lesson 6.

25 Write each fraction on the number line. _ 0. _. 7_ 6. _ 0 _ _ Reteach A 7

26 Write the missing improper fraction in each box thirds Chapter 6 Lesson 6.

27 Worksheet Complete each statement. thirds is whole. Renaming Improper Fractions and Mixed Numbers.. quarters is whole. fifths is whole... sixths is whole. sevenths is whole.. eighths is whole. Reteach A 77

28 Rename each improper fraction as a mixed number. Use models to help you. 7_? 7_ 7 thirds 6 thirds third 6 So, _ fifths 7. _ 6 sixths fifths fifths sixths sixths 7 Chapter 6 Lesson 6.

29 Use the division rule to rename each improper fraction as a mixed number. _? ) 0 There are wholes and fifths in _. _ So, _. Division Rule: Divide the numerator by the denominator. R. _. 7 _ 7 ) 7) 7 There are wholes and There are wholes and So, _ thirds in _. sevenths in _ So, 7 _ 7. Reteach A 7

30 Rename the improper fraction as a mixed number in simplest form. Then check your answer using the division rule. _ 6? _ 6 sixths sixths sixths So, _ 6 7. Check 7 6) 6 7 R _ 6 7 _ _ quarters quarters quarters Check ) 6 6 R 6 _ 0 Chapter 6 Lesson 6.

31 . _ ninths ninths ninths Check ) R _ Reteach A

32 Use the multiplication rule to rename each mixed number as an improper fraction. _ 6? _ 6 _ 6 6 _ Multiplication Rule So, _ _ 6 Chapter 6 Lesson 6.

33 Rename each mixed number as an improper fraction in simplest form. Check your answer. _? _ Check Step Step Multiply the whole number by the denominator. Add the product to the numerator. There are quarters in _. So, _.. Check There are halves in _. Reteach A

34 . 7 _ 6 Check 7 There are sixths in 7 _ _ Check There are ninths in _. Chapter 6 Lesson 6.

35 Worksheet 6 Renaming Whole Numbers when Adding and Subtracting Fractions Add. Express each answer as a mixed number in simplest form.? 6 6 _ So, _. Reteach A

36 .. 7 _ 6 Chapter 6 Lesson 6.6

37 Find the equivalent fraction. Then add. Express each answer in simplest form. _ 7_? _ 7_ 7 So, _ 7_.. _ 7_ 0. Reteach A 7

38 Find the sum. Express each answer in simplest form. _? _ 6 So, _.. _ 7 Chapter 6 Lesson 6.6

39 6. _ 7_ Express each whole number as a mixed number. _ 7. _.. _ 0. Reteach A

40 Subtract each fraction from a whole number to get a mixed number. _? Method _ Method _ _ or So, _.. _. _ 0 Chapter 6 Lesson 6.6

41 . _. _ Subtract. Express your answer in simplest form.? 6 6 So,. Reteach A

42 . _ 7_ 6. _ 6 _ Chapter 6 Lesson 6.6

43 Worksheet 7 Fraction of a Set Find the fraction of each set. _ of? pretzels are divided into equal groups. _ of means of the groups of pretzels. groups of pretzels pretzels group of pretzels pretzels So, _ of is.. _ of Reteach A

44 . _ of. _ of. _ of 7. _ of Chapter 6 Lesson 6.7

45 Answer the questions. How many toys are shaded? toys are shaded. 6. toys are divided into equal groups. There are groups of toys, and groups are shaded. 7. What fraction of the set of toys are shaded? The shaded parts _ of the set.. Write the missing numbers on the model. Reteach A

46 Write the missing numbers. fruits are divided into groups.. There are fruits in each group. 0. out of the fruits in the set are shaded.. Color the parts of the model to show the number of fruits that are shaded. units fruits unit unit unit. What fraction of the fruits are shaded? The shaded parts _ of the set.. From the model, unit fruits units fruits 6 Chapter 6 Lesson 6.7

47 Find the fractional part of each number. Use models to help you. _ of? units unit Divide into equal parts. The shaded parts of the set. units So, _ of is.. _ of? units unit units So, _ of. Reteach A 7

48 Find the fractional part of each number. Show your work. _ of? _ 0 The word of means to multiply. So, _ of.. _ of 6. _ 7 of _ of 6. 7 of _ Chapter 6 Lesson 6.7

49 Worksheet Solve. Show your work. Real-World Problems: Fractions Three friends shared a pie. Susan ate _ of the pie. Daniel ate _ of the pie. Joe ate _ of the pie. What fraction of the pie did they eat altogether? _ _ 6_ They ate _ of the pie.. Lisa, Sam, and Marco each bought some dried fruit. Lisa bought _ pound of dried fruit. Sam and Marco each bought _ 6 pound of dried fruit. How much dried fruit did they buy altogether? 6 _ 6 _ 6 _ 6 They bought pounds of dried fruit altogether. Reteach A

50 . Mrs. Jackson baked muffins one day. She used _ kilogram of flour to bake the first batch of muffins. She used 7_ kilogram of flour to bake the second batch, and another _ kilogram of flour for the third batch. How much flour did she use altogether? _ 7 7 She used kilograms of flour altogether.. Edison made a fruit salad. He mixed 7_ pound of apples and _ pound of strawberries. He then added _ pound of banana. What was the total weight of the fruit salad? 00 Chapter 6 Lesson 6.

51 Kathy has loaf of whole grain bread. She cuts _ of it for her friend and _ for herself. What fraction of the bread is left? Method Method _ loaf of bread is left. _ loaf of bread is left.. Sam spent _ of his time playing soccer and _ of his time doing homework. He spent the rest of his time playing computer games. How much of his time did Sam spend playing computer games?? Sam spent of his time playing computer games. Reteach A 0

52 . Latoya bought a pizza. She ate _ 6 of the pizza and gave _ of it to her sister. She kept the rest of the pizza for her grandmother. How much of the pizza did Latoya keep for her grandmother? 6? _ 6 _ Latoya kept of the pizza for her grandmother. 6. Pam made mixed juice from carrot juice and apple juice. She filled a jug with 7_ liter of carrot juice and _ liter of apple juice. Pam then drank _ liter of the mixed juice. Find the amount of mixed juice that was left in the jug. 0 Chapter 6 Lesson 6. liters of mixed juice was left in the jug.

53 Ling bought a total of apples. Of the apples she bought, are red apples and are green apples. a. What fraction of the apples are red? b. What fraction of the apples are green? a. out of is _. b. _ _ of the apples are green. of the apples are red. 7. Elan has a bag of 0 marbles. He gives marbles to his brother. a. What fraction of his marbles does Elan give away? out of 0 is _. Elan gives away b. What fraction of the marbles are left? of the marbles are left. of his marbles. Reteach A 0

54 . Bernice has a ribbon that is centimeters long. She cuts centimeters off the length of the ribbon. What fraction of the ribbon is left? Dianne has $7. She uses _ of it to buy a present for her father. How much money does Dianne have left? $7 Method Method units $7 unit $7 $ units $ $ Dianne has $ left.? _ of $7 _ $7 $60 $0 Dianne spent $0. $7 $0 $ Dianne has $ left. 0 Chapter 6 Lesson 6.

55 . Winton was given $ to spend at his school fair. He spent _ of the money 7 playing games. How much money did Winton have left? $? 7 Method Method units $ unit $ units $ $ $ $ $ Winton had $ left. _ 7 of $ $ $ $ He spent $. $ $ $ Winton had $ left. 0. Chris planted carrots on _ of his farm and tulips on the rest of the land. The total area of his farm is 6 square meters. Find the area of the land on which he planted tulips. 6 square meters Carrots: Tulips:? Method Method Reteach A 0

56 . Of all the seats in an airplane, _ are business-class seats, and the rest are economy-class seats. There are 6 seats in the airplane. Find the number of economy-class seats. 6? Method Method. Sally cuts a pear into equal pieces. She gives each of her 6 students one piece each. What fraction of the pear do they eat altogether?. Mr. Lee has visitors. He prepares glasses of orange juice for his visitors. Each glass contains _ liters of orange juice. How many liters of orange juice has Mr. Lee prepared altogether? 06 Chapter 6 Lesson 6.

57 Worksheet Solve. Line Plots with Fractions of a Unit. Jeff went to a garden and collected some leaves. He measured the lengths of the leaves and recorded them as follows: cm, cm, cm, cm, cm, cm, 7 cm, 6 cm, cm, cm, cm, cm, cm, cm, 6 cm, 7 cm, 6 cm, cm, cm, cm, cm, cm, cm. Draw a table and record the data. Length of Leaves Tally Number of Leaves From the table draw a graph below. Use an to represent one leaf. Reteach A 07

58 . The graph shows the mode of transportation of children to school daily. Walk Bus Car Bicycle a. Which is the most common way children go to school? b. Why do you think so? c. Which is the least common way children go to school? d. Why do you think so? e. How many more children go to school by bus than by bicycle? 0 Chapter 6 Lesson 6.