MIXED NUMBERS/IMPROPER FRACTIONS PRACTICE …

[Pages:8]MIXED NUMBERS/IMPROPER FRACTIONS ? PRACTICE QUESTIONS NON-CALCULATOR 1. Convert each improper fraction into a mixed number:

3 (a) 2

7 (b) 3

15 (c) 4

20 (d) 3

23 (e) 10

21 (f) 8

27 (g) 5

30 (h) 7

31 (i) 9

26 (j) 3

40 (k) 11

403 (l) 100

65 (m) 12

71 (n) 20

2. Convert each mixed number into an improper fraction:

(a)

1

1 2

(b)

2

1 4

(c)

3

2 5

(d)

4

3 4

(e)

6

3 5

(f)

3

5 6

(g)

4

2 7

(h)

10

1 3

(i)

7

4 5

(j)

8

5 6

(k)

2

7 11

(l)

9

2 7

(m)

12

3 4

(n)

5

5 8

3. Work out, giving your answer as a fully simplified mixed number:

(a)

1

1 4

+

2 3

(b)

7 8

+

1

1 3

(c)

1

2 7

+

2

1 2

(d)

3

2 3

+

1

1 5

(e)

3

1 2

+

2

2 5

(f)

1

3 7

+

2

2 3

(g)

3

1 3

+

2

3 4

(h)

6

2 3

+

1

3 4

4. Work out, giving your answer as a fully simplified mixed number:

(a)

3

1 2

-

5 8

(b)

2

2 5

-

3 4

(c)

4

1 6

-

2

1 2

(d)

2

1 4

-

7 10

(e)

3

1 3

-

1

2 5

(f)

4

1 6

-

1

1 4

(g)

3

2 3

-

1

3 4

(h)

4

1 8

-

2

2 3

5. Work out, giving your answer as a fully simplified mixed number:

(a)

1

2 3

?

1

1 2

(b)

1

3 4

?

2

1 3

(c)

3

1 2

?

2

2 5

(d)

3

1 3

?

2

2 3

(e)

2

1 5

?

1

1 3

(f)

4

2 3

?

1

1 4

(g)

6

1 4

?

1

2 3

(h)

3

3 10

?

2

2 3

6. Work out, giving your answer as a fully simplified mixed number:

(a)

2

2 5

?

1

1 2

(b)

3

1 4

?

1

1 3

(c)

4

1 2

?

1

3 4

(d)

3

1 3

?

1

1 10

(e)

6

2 3

?

2

2 5

(f)

7

1 2

?

3

1 3

(g)

7

1 7

?

3

1 8

(h)

4

2 7

?

2

2 9

7. Work out:

(a)

1

1 2

?

20

(b)

2

2 3

?

9

(c)

21

?

1

3 7

(d)

25

?

2

2 5

(e)

18

?

1

1 2

(f)

25

?

1

2 3

(g)

35

?

3

1 2

(h)

110

?

4

2 5

8. Work out, giving your answer as a fully simplified mixed number:

(a)

2

3 4

+

1

1 3

(b)

3

1 3

?

1

3 8

(c)

5

1 3

-

2

2 5

(d)

6

3 4

?

1

2 7

(e)

5

1 2

?

2

2 5

(f)

3

5 6

+

2

1 2

(g)

7

1 3

-

3

1 2

(h)

3

3 5

?

2

1 2

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