Skills VI: Grade 4 and 5 math remedial workbook math in english Subject: Free math remedial exercise...

Skills VI

Topics:

Exercise Book

Adding and subtracting fractions

Comparing fractions

Mixed numbers and impropers

Fractions of sets

Conversion in decimals

Simplifying fractions

Copyright: Math in English

This workbook is all about fractions and suited for grade 4/5students. The practice material covers:

- Compare fractions with di�erent denominators that are multiples of each other

- Simplifying fractions (reduce to lowest terms)

- Adding and subtracting fractions with di�erent denominators that are multiples of each other

- Conversion of mixed numbers in improper fractions and vice versa

- Conversion of fractions into decimals and vice versa (whole decimal numbers/ no rounding o�)

This booklet is excellent for any student: for those who are struggling with fractions, and those who feel the need to practice more. You can use it in combination with our worksheets!

Math in English

Comparing Fractions

Copyright: Math in English Page 1

Compare the following fractions by using >, < or =.

Comparing Fractions

Simplifying Fractions

Simplify the following fractions (lowest terms)

30 10 28

12 2 = 10

4 = 9 6 = 9

8 6 = 12

10 = 12 3 = 40

10 6 = 15

3 = 20 2 = 15

18 9 = 14

2 = 25 5 = 24

16 2 = 22

2 = 18 3 = 14

3010 = 21

7 = 24 8 = 24

2 = 6 = 7 = 7 4 =

8 4 = 9

3 = 14 2 =

6 2 = 10

2 = 6 4 =

12 4 = 10

6 = 9 3 = 7

8 4 = 12

8 = 12 6 = 40

10 2 = 15

6 = 20 4 = 15

18 6 = 14

6 = 15 5 = 24

16 8 = 22

4 = 18 15 = 14

3020 = 21

3 = 20 8 = 24

30 3 = 20

6 = 28 2 = 9

8 6 = 9

6 = 14 4 =

6 3 = 10

4 = 6 2 =

Addition and subtraction of fractions

Calculate and show your answers in the lowest terms

6 1 + 6

1 = 3 2 + 9

4 2 + 8

1 = 5 1 + 5

6 1 + 12

1 = 5 1 + 10

3 1 + 6

2 = 6 1 + 6

1 = 3 1 + 12

4 1 + 8

4 = 2 1 + 6

1 = 4 1 + 20

5 3 + 10

2 = 3 1 + 9

1 = 2 1 + 8

6 3 + 6

1 = 6 3 + 12

1 = 8 3 + 8

8 2 + 4

2 = 4 1 + 2

1 = 8 1 + 8

20 2 + 10

4 = 6 4 + 6

0 = 6 1 + 3

12 3 + 4

1 = 8 5 + 8

1 = 5 1 + 10

8 5 - 2

1 = 3 4 - 6

6 6 - 3

1 = 6 4 - 2

3 3 - 6

1 = 8 4 - 4

4 2 - 8

2 = 4 3 - 8

1 = 6 9 - 3

2 1 - 6

1 = 4 1 - 8

1 = 3 1 - 6

5 4 - 10

1 = 6 5 - 6

1 = 2 1 - 8

5 3 - 10

4 = 9 6 - 3

1 = 6 3 - 3

3 3 - 6

2 = 3 4 - 6

4 = 6 5 - 6

6 4 - 3

1 = 8 5 - 4

2 = 4 3 - 2

3 2 - 6

1 = 2 1 - 4

1 = 5 4 - 10

6 2 + 6

1 = 3 1 + 9

4 1 + 8

1 = 5 2 + 5

6 2 + 12

2 = 5 1 + 10

3 1 + 6

1 = 6 2 + 6

1 = 3 1 + 12

4 1 + 8

1 = 2 1 + 6

2 = 5 1 + 20

5 2 + 10

2 = 3 2 + 9

1 = 2 1 + 8

6 1 + 6

1 = 6 3 + 12

2 = 8 3 + 8

8 1 + 4

2 = 6 1 + 2

1 = 8 1 + 8

20 4 + 10

4 = 6 1 + 6

0 = 3 1 + 3

12 6 + 4

1 = 8 3 + 8

1 = 5 2 + 10

Mixed numbers and improper fractions

Convert these mixed numbers into improper fractions.

5 2 5 = 5 6

1 6 = 6 9 2 1 = 9 5

2 2 = 5

8 1 2 = 8 5

2 3 = 5 4 3 5 = 4 8

1 4 = 8

9 2 1 = 9 4

2 2 = 4 6 2 3 = 6 3

2 5 = 3

3 1 2 = 3 6

2 5 = 6 8 1 3 = 8 9

1 1 = 9

5 2 9 = 5 3

2 7 = 3 3 1 5 = 3 7

2 4 = 7

7 2 2 = 7 7

2 1 = 7 8 1 1 = 8 6

1 4 = 6

4 2 5 = 4 4

2 1 = 4 2 1 2 = 2 7

4 3 = 7

8 7 5 = 8 6

2 4 = 6 7 2 2 = 7

6 1 2 = 6 3

1 3 = 3 3 1 1 = 3

4 2 5 = 5

1 6 = 9 3 1 = 5

6 1 2 = 5

1 3 = 3 3 5 = 8

8 2 1 = 5

2 2 = 5 2 3 = 5

4 1 2 = 3

2 5 = 8 2 3 = 9

4 2 9 = 3

2 7 = 3 1 5 = 8

6 2 2 = 7

2 1 = 7 1 1 = 6

6 2 5 = 3

2 1 = 2 1 3 = 6

7 7 5 = 5

2 4 = 6 2 2 =

5 1 2 = 4

1 3 = 2 1 1 =

Improper fractions and mixed numbers

Convert these improper fractions into mixed numbers

Convert these improper fractions into mixed numbers.

Fractions of a set

Calculate these fractions of sets

2 1 of 150 = 3

1 of 60 =

3 1 of 75 = 4

1 of 80 =

2 1 of 100 = 3

1 of 150 =

2 1 of 90 = 2

1 of 180 = 2 1 of 104 =

5 1 of 150 = 3

1 of 90 = 3 1 of 123 =

6 1 of 120 = 10

1 of 150 = 2 1 of 170 =

4 1 of 200 = 2

1 of 110 = 2 1 of 130 =

4 1 of 160 = 2

1 of 70 = 4 1 of 120 =

2 1 of 60 = 3

1 of 180 = 3 1 of 99 =

7 1 of 140 = 4

1 of 200 = 2 1 of 104 =

9 1 of 90 = 6

1 of 180 = 5 1 of 100 =

8 1 of 160 = 3

1 of 120 = 7 1 of 210 =

Fractions of a set

2 1 of 100 = 2

1 of 120 =

3 1 of 150 = 2

1 of 140 =

2 1 of 180 = 2

1 of 160 =

5 1 of 150 = 4

1 of 160= 2 1 of 124 =

5 1 of 120 = 3

1 of 180 = 4 1 of 180 =

4 1 of 200 = 4

1 of 320 = 3 1 of 297 =

2 1 of 110 = 3

1 of 210 = 2 1 of 176 =

5 1 of 220 = 6

1 of 120 = 3 1 of 264 =

7 1 of 140 = 8

1 of 160 = 2 1 of 198 =

9 1 of 270 = 5

1 of 250 = 2 1 of 102 =

2 1 of 130 = 7

1 of 280 = 3 1 of 270 =

9 1 of 180 = 6

1 of 240 = 2 1 of 190 =

Fractions of a set

What fraction of each set is shaded?

Fractions of a set

What fraction of each set is not shaded?

Conversion of Fractions into Decimals

Convert these fractions into decimals

10012 = 10

3 = 4 3 = 10

5 3 = 4

2 = 10037 = 10

50 1 = 25

1 = 20 1 = 10

50 2 = 25

2 = 2010 = 25

10099 = 10

4 = 10065 = 25

200 2 = 50

7 = 10013 = 10

2 1 = 10

1 = 4 1 =

100 1 = 20

2 = 100 2 =

10010 = 5

1 = 100 50 = 10

10025 = 20

3 = 4 1 = 10

5 4 = 8

2 = 10044 = 10

50 9 = 25

5 = 20 3 = 10

50 3 = 25

4 = 2015 = 25

10091 = 10

1 = 10015 = 25

200 4 = 50

8 = 10015 = 15

8 4 = 20

6 = 8 6 =

100 51 = 20

9 = 100 7 =

10011 = 6

3 = 100 40 = 18

Conversion of Decimals into Fractions

Convert these decimals into fractions (lowest terms!)

= = = =

0.1 = =

0.35 =

Crossword Puzzle

Use your skills and solve this puzzle!

Across

2. half of 50 1. three-fourths of 20 4. seven-tenths of 50 2. three-eighths of 64 5. three-fourths of 28 3. one-�fth of 125 8. two-�fths of 30 6. one-sixth of 108 10. four-eights of 40 7. three-sevenths of 49 12. one-third of 96 9. four-�fths of 25 13. one-fourth of 200 10. three-ninths of 81 16. four-�fths of 30 11. two-�fths of 25 12. six-twentieths of 100 14. one-third of 45 15. four-ninths of 90 17. three-�fths of 20

2 16 15

5 6 12

8 9 10

30 15 10 5 28 4

12 2 = 6

1 10 4 = 5

2 9 6 = 3

2 9 8 = 9

8 6 = 4

31210 = 6

512 3 = 4

14010 = 4

10 6 = 5

315 3 = 5

120 2 = 10

11510 = 3

18 9 = 2

114 2 = 7

125 5 = 5

12412 = 2

16 2 = 8

122 2 = 11

118 3 = 6

114 7 = 2

3010 = 3

121 7 = 3

124 8 = 3

124 4 = 6

2 = 1 6 = 3 7 = 1 7 4 = 7

8 4 = 2

1 9 3 = 3

1 14 2 = 7

6 2 = 3

110 2 = 5

1 6 4 = 3

Comparing Fractions

8 3> >

Comparing Fractions

8 2> >

Comparing Fractions

6 3> >

12 4 = 3

1 10 6 = 5

3 9 3 = 3

1 7 4 = 7

8 4 = 2

112 8 = 3

212 6 = 2

14020 = 2

10 2 = 5

115 6 = 5

220 4 = 5

11512 = 5

18 6 = 3

114 6 = 7

315 5 = 5

12416 = 3

16 8 = 2

122 4 = 11

218 15 = 6

514 8 = 7

3020 = 3

221 3 = 7

120 8 = 5

224 8 = 3

30 3 = 10

120 6 = 10

328 2 = 14

1 9 7 = 9

8 6 = 4

3 9 6 = 3

2 14 4 = 7

6 3 = 2

110 4 = 5

2 6 2 = 3

6 1 + 6

1 = 3 1

3 2 + 9

1 = 9 7

4 2 + 8

1 = 8 5

5 1 + 5

1 = 5 2

6 1 + 12

1 = 4 1

5 1 + 10

1 = 10 3

3 1 + 6

2 = 3 2

6 1 + 6

1 = 3 1

3 1 + 12

4 = 3 2

4 1 + 8

4 = 4 3

2 1 + 6

1 = 3 2

4 1 + 20

5 = 2 1

5 3 + 10

2 = 5 4

3 1 + 9

1 = 9 4

2 1 + 8

2 = 4 3

6 3 + 6

1 = 3 2

6 3 + 12

1 = 12 7

8 3 + 8

3 = 4 3

8 2 + 4

2 = 4 3

4 1 + 2

1 = 4 3

8 1 + 8

3 = 2 1

20 2 + 10

4 = 2 1

6 4 + 6

0 = 3 2

6 1 + 3

1 = 2 1

12 3 + 4

1 = 2 1

8 5 + 8

1 = 4 3

5 1 + 10

3 = 2 1

8 5 - 2

1 = 8 1

3 4 - 6

6 = 3 1

6 6 - 3

1 = 3 2

6 4 - 2

1 = 6 1

3 3 - 6

1 = 6 5

8 4 - 4

1 = 4 1

4 2 - 8

2 = 4 1

4 3 - 8

1 = 8 5

6 9 - 3

2 = 3 2

2 1 - 6

1 = 3 1

4 1 - 8

1 = 8 1

3 1 - 6

1 = 6 1

5 4 - 10

1 = 10 7

6 5 - 6

1 = 3 2

2 1 - 8

1 = 8 3

5 3 - 10

4 = 5 1

9 6 - 3

1 = 3 1

6 3 - 3

1 = 6 1

3 3 - 6

2 = 3 2

3 4 - 6

4 = 3 2

6 5 - 6

1 = 3 2

6 4 - 3

1 = 3 1

8 5 - 4

2 = 8 1

4 3 - 2

1 = 4 1

3 2 - 6

1 = 2 1

2 1 - 4

1 = 4 1

5 4 - 10

2 = 5 3

6 2 + 6

1 = 2 1

3 1 + 9

1 = 9 4

4 1 + 8

1 = 8 3

5 2 + 5

1 = 5 3

6 2 + 12

2 = 2 1

5 1 + 10

3 = 2 1

3 1 + 6

1 = 2 1

6 2 + 6

1 = 2 1

3 1 + 12

2 = 2 1

4 1 + 8

1 = 8 3

2 1 + 6

2 = 6 5

5 1 + 20

4 = 5 2

5 2 + 10

2 = 5 3

3 2 + 9

1 = 9 7

2 1 + 8

1 = 8 5

6 1 + 6

1 = 3 1

6 3 + 12

2 = 3 2

8 3 + 8

1 = 2 1

8 1 + 4

2 = 8 5

6 1 + 2

1 = 3 2

8 1 + 8

5 = 4 3

20 4 + 10

4 = 5 3

6 1 + 6

0 = 6 1

3 1 + 3

1 = 3 2

12 6 + 4

1 = 4 3

8 3 + 8

1 = 2 1

5 2 + 10

1 = 2 1

5 2 5 = 5

27 6 1 6 = 6

37 9 2 1 = 9

11 5 2 2 = 5

8 1 2 = 8

17 5 2 3 = 5

17 4 3 5 = 4

23 8 1 4 = 8

9 2 1 = 9

11 4 2 2 = 4

10 6 2 3 = 6

20 3 2 5 = 3

3 1 2 = 3

7 6 2 5 = 6

32 8 1 3 = 8

25 9 1 1 = 9

5 2 9 = 5

47 3 2 7 = 3

23 3 1 5 = 3

16 7 2 4 = 7

7 2 2 = 7

16 7 2 1 = 7

9 8 1 1 = 8

9 6 1 4 = 6

4 2 5 = 4

22 4 2 1 = 4

6 2 1 2 = 2

5 7 4 3 = 7

8 7 5 = 8

47 6 2 4 = 6

26 7 2 2 = 7

6 1 2 = 6

13 3 1 3 = 3

10 3 1 1 = 3

Convert these improper fractions into mixed numbers

5 2 5 6

1 6 9 2 1 5

8 1 2 5

2 3 4 3 5 8

9 2 1 4

2 2 6 2 3 3

3 1 2 6

2 5 8 1 3 9

5 2 9 3

2 7 3 1 5 7

7 2 2 7

2 1 8 1 1 6

4 2 5 4

2 1 2 1 2 7

8 7 5 6

2 4 7 2 2

4 2 5 = 4

22 5 1 6 = 5

31 9 3 1 = 9

12 5 3 2 = 5

6 1 2 = 6

13 5 1 3 = 5

16 3 3 5 = 3

18 8 2 4 = 8

8 2 1 = 8

10 5 2 2 = 5

12 5 2 3 = 5

17 5 2 5 = 5

4 1 2 = 4

9 3 2 5 = 3

17 8 2 3 = 8

26 9 2 1 = 9

4 2 9 = 4

38 3 2 7 = 3

23 3 1 5 = 3

16 8 2 4 = 8

6 2 2 = 6

14 7 2 1 = 7

9 7 1 1 = 7

8 6 2 4 = 6

6 2 5 = 6

32 3 2 1 = 4

5 2 1 3 = 2

7 6 4 3 = 6

7 7 5 = 7

42 5 2 4 = 5

22 6 2 2 = 6

5 1 2 = 5

11 4 1 3 = 4

13 2 1 1 = 2

Convert these improper fractions into mixed numbers.

4 2 5 5

1 6 8 2 1 6

7 1 2 4

2 3 5 3 5 7

8 3 1 6

2 2 7 2 3 2

2 1 2 4

2 5 6 1 3 9

4 2 9 2

2 7 4 1 5 4

4 2 2 5

2 1 7 1 1 5

6 2 5 3

2 1 2 1 1 6

7 7 5 5

2 4 6 2 2

Fractions of a set

2 1 of 150 = 75 3

1 of 60 = 20

3 1 of 75 = 25 4

1 of 80 = 20

2 1 of 100 = 50 3

1 of 150 = 50

2 1 of 90 = 45 2

1 of 180 = 90 2 1 of 104 = 52

5 1 of 150 = 30 3

1 of 90 = 30 3 1 of 123 = 41

6 1 of 120 = 20 10

1 of 150 = 15 2 1 of 170 = 85

4 1 of 200 = 50 2

1 of 110 = 55 2 1 of 130 = 65

4 1 of 160 = 40 2

1 of 70 = 35 4 1 of 120 = 30

2 1 of 60 = 30 3

1 of 180 = 60 3 1 of 99 = 33

7 1 of 140 = 20 4

1 of 200 = 50 2 1 of 104 = 52

9 1 of 90 = 10 6

1 of 180 = 30 5 1 of 100 = 20

8 1 of 160 = 20 3

1 of 120 = 40 7 1 of 210 = 30

Fractions of a set

2 1 of 100 = 50 2

1 of 120 = 60

3 1 of 150 = 50 2

1 of 140 = 70

2 1 of 180 = 90 2

1 of 160 = 80

5 1 of 150 = 30 4

1 of 160= 40 2 1 of 124 = 62

5 1 of 120 = 24 3

1 of 180 = 60 4 1 of 180 = 45

4 1 of 200 = 50 4

1 of 320 = 80 3 1 of 297 = 99

2 1 of 110 = 55 3

1 of 210 = 70 2 1 of 176 = 88

5 1 of 220 = 44 6

1 of 120 = 20 3 1 of 264 = 88

7 1 of 140 = 20 8

1 of 160 = 20 2 1 of 198 = 99

9 1 of 270 = 30 5

1 of 250 = 50 2 1 of 102 = 51

2 1 of 130 = 65 7

1 of 280 = 40 3 1 of 270 = 90

9 1 of 180 = 20 6

1 of 240 = 40 2 1 of 190 = 95

Fractions of a set

What fraction of each set is shaded?

Fractions of a set

What fraction of each set is not shaded?

10012 = 0.12 10

3 = 0.3 4 3 = 0.75 10

7 = 0.7

5 3 = 0.6 4

2 = 0.5 10037 = 0.37 10

6 = 0.6

50 1 = 0.02 25

1 = 0.04 20 1 = 0.05 10

9 = 0.9

50 2 = 0.04 25

2 = 0.08 2010 = 0.5 25

5 = 0.2

10099 = 0.99 10

4 = 0.4 10065 = 0.65 25

9 = 0.36

200 2 = 0.01 50

7 = 0.14 10013 = 0.13 10

10 = 1

2 1 = 0.5 10

1 = 0.1 4 1 = 0.25

100 1 = 0.01 20

2 = 0.1 100 2 = 0.02

10010 = 0.1 5

1 = 0.2 100 50 = 0.5 10

4 = 0.4

10025 = 0.25 20

3 = 0.15 4 1 = 0.25 10

4 = 0.4

5 4 = 0.8 8

2 = 0.25 10044 = 0.44 10

5 = 0.5

50 9 = 0.18 25

5 = 0.2 20 3 = 0.15 10

8 = 0.8

50 3 = 0.06 25

4 = 0.16 2015 = 0.75 25

20 = 0.8

10091 = 0.91 10

1 = 0.1 10015 = 0.15 25

24 = 0.96

200 4 = 0.02 50

8 = 0.16 10015 = 0.15 15

15 = 1

8 4 = 0.5 20

6 = 0.3 8 6 = 0.75

100 51 = 0.51 20

9 = 0.45 100 7 = 0.07

10011 = 0.11 6

3 = 0.5 100 40 = 0.4 18

9 = 0.5

Conversion of Decimals into Fractions

Convert these decimals into fractions (lowest terms!)

= = = =

20 7 =

100 21

Crossword Puzzle

Use your skills and solve this puzzle!

Across

2. half of 50 1. three-fourths of 20 4. seven-tenths of 50 2. three-eighths of 64 5. three-fourths of 28 3. one-�fth of 125 8. two-�fths of 30 6. one-sixth of 108 10. four-eights of 40 7. three-sevenths of 49 12. one-third of 96 9. four-�fths of 25 13. one-fourth of 200 10. three-ninths of 81 16. four-�fths of 30 11. two-�fths of 25 12. six-twentieths of 100 14. one-third of 45 15. four-ninths of 90 17. three-�fths of 20

Skills VI: Grade 4 and 5 math remedial workbook math in english Subject: Free math remedial exercise...

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Transcript of Skills VI: Grade 4 and 5 math remedial workbook math in english Subject: Free math remedial exercise...

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