Free Printable Mixed Number & Improper Fractions Fluency

1.

If possible, simplify the following fraction. $\frac{15}{20}$

a)

$\frac{1}{2}$

b)

$\frac{3}{4}$

c)

$\frac{4}{5}$

d)

This fraction is already in simplest form.

2.

If possible, simplify the following fraction $\frac{9}{15}$

a)

$\frac{2}{3}$

b)

$\frac{2}{5}$

c)

$\frac{3}{5}$

d)

This fraction is already in simplest form.

3.

Simplify the following fraction:

\frac{2}{8}

a)

$\frac{1}{4}$

b)

$\frac{1}{2}$

c)

$\frac{1}{8}$

d)

$\frac{2}{8}$

4.

Simplify the following fraction:

\frac{6}{12}

a)

$\frac{2}{1}$

b)

$\frac{1}{2}$

c)

$\frac{2}{6}$

d)

$\frac{6}{6}$

5.

Convert $1\frac{\text{6}}{\text{10}}$ to an improper fraction.

a)

$\frac{\text{16}}{\text{10}}$

b)

$\frac{\text{17}}{\text{10}}$

c)

$\frac{\text{16}}{\text{6}}$

d)

$\frac{\text{17}}{\text{6}}$

6.

Convert $1\frac{\text{3}}{\text{5}}$ to an improper fraction.

a)

$\frac{8}{5\ }$

b)

$\frac{9}{5}$

c)

$\frac{6}{3}$

d)

$\frac{15}{5}$

7.

Convert $7\ \frac{1}{5}$ to an improper fraction.

a)

$\frac{13}{5}$

b)

$\frac{13}{1}$

c)

$\frac{36}{5}$

d)

$\frac{7}{6}$

8.

Convert into a mixed number: $\frac{10}{3}$

a)

$2\ \frac{4}{3}$

b)

$3\ \frac{2}{3}$

c)

$3\ \frac{1}{3}$

d)

$1\ \frac{3}{3}$

9.

Convert into a mixed number: $\frac{21}{5}$

a)

$5\ \frac{1}{5}$

b)

$4\ \frac{2}{5}$

c)

$4\ \frac{1}{5}$

d)

$5\ \frac{4}{5}$

10.

Which mixed number is represented by the model?

a)

3/4

b)

2 4/3

c)

2 3/4

d)

2 1/4

11.

Which mixed number is represented by the model?

a)

3/4

b)

2 4/3

c)

2 3/4

d)

2 1/4

12.

7/2= what as a mixed number?

a)

3 1/2

b)

4 3/2

c)

4 1/2

d)

2 3/2

13.

Convert the mixed number into an improper fraction

a)

21/4

b)

9/4

c)

4/9

d)

7/4

14.

Convert the mixed number into an improper fraction

a)

5/4

b)

4/5

c)

11/4

d)

6/4

15.

3/2 =

a)

1_1/2

b)

2_1/2

c)

2

d)

1

16.

What mixed number is shown by the picture?

a)

13/8

b)

3 1/3

c)

13/4

d)

3 1/4

17.

Change to an improper fraction.

a)

1/15

b)

15/15

c)

16/15

d)

2/15

18.

Which number is represented by the model?

a)

2 3/8

b)

2 5/8

c)

2 3/5

d)

2 3/4

19.

What mixed number does this represent

a)

2 3/8

b)

2 1/4

c)

3 5/8

d)

3 3/8

20.

Which mixed number is represented by the model?

a)

3 1/4

b)

3 4/1

c)

3 3/4

d)

4 1/4

21.

In an improper fraction, which term is larger?

a)

Numerator

b)

Bottom

c)

Not sure

d)

They are equal

22.

10/2

a)

2/10

b)

5 1/2

c)

0.5

d)

5

23.

a)

5/22

b)

12/2

c)

4/12

d)

12/5

24.

CHANGE 4 1/3 TO IMPROPER FRACTIONS.

a)

12/3

b)

13/3

c)

4/3

25.

CHANGE 6 1/5 TO IMPROPER FRACTIONS.

a)

6/5

b)

30/5

c)

31/5

26.

CHANGE 35/6 TO MIXED NUMBERS.

a)

5 5/6

b)

6 1/6

c)

4 4/6

27.

CHANGE 79/11 TO MIXED NUMBER.

a)

7 7/11

b)

7 2/11

c)

7 5/11

28.

CHANGE 7 2/9 TO IMPROPER FRACTIONS.

a)

63/9

b)

64/9

c)

65/9

29.

CHANGE 12 1/5 TO IMPROPER FRACTIONS.

a)

60/5

b)

61/5

c)

62/5

30.

CHANGE 78/5 TO MIXED NUMBERS.

a)

15 1/5

b)

15 2/5

c)

15 3/5

31.

Write 9/5 as a mixed number.

a)

1 4/5

b)

1 4/9

c)

5 1/4

d)

4 1/5

32.

Write 3/2 as a mixed number.

a)

1 1/4

b)

3/4

c)

1 1/2

d)

2 1/3

33.

Write 10/3 as a mixed number.

a)

1 1/3

b)

3 1/3

c)

6 4/3

d)

2 4/10

34.

Write 20/5 as a mixed number.

a)

5

b)

1/4

c)

4 1/4

d)

4

35.

Write this improper fractions as a mixed number.

a)

11 1/2

b)

10 1/2

c)

12 1/4

d)

20

36.

Write
4 1/4
as an improper fraction.

a)

17/2

b)

17/4

c)

16/4

d)

16

37.

Write
2 2/3
as an improper fraction.

a)

8/3

b)

6/3

c)

4/3

d)

16

38.

Write
3 7/8
as an improper fraction.

a)

8

b)

24/8

c)

31/8

d)

35/8

39.

Write
5 5/6
as an improper fraction.

a)

35/6

b)

30/5

c)

30/6

d)

6

40.

Write
5 2/5
as an improper fraction.

a)

1/2

b)

5

c)

27/5

d)

25/5

41.

Choose the improper fraction this image represents:

a)

8/8

b)

4/4

c)

8/4

d)

8/8

42.

Choose the improper fraction this image represents:

a)

15/8

b)

16/9

c)

15/9

d)

15/10

43.

Choose the improper fraction this image represents:

a)

21/10

b)

21/30

c)

22/11

d)

20/10

44.

Which below is an improper fraction?

a)

3/4

b)

3 4/3

c)

34/33

d)

33.3

45.

Convert:
¹²/₅

a)

1 2/5

b)

2 2/5

c)

7/5

d)

3 1/5

46.

Convert:
⁹/₈

a)

1 3/8

b)

2 1/8

c)

2 2/8

d)

1 1/8

47.

Convert:
⁷/₃

a)

1 1/3

b)

2/3

c)

3

d)

2 1/3

48.

Convert:

a)

5 2/8

b)

5 1/8

c)

6 1/13

d)

6 1/2

49.

Convert:

a)

3 2/6

b)

3 1/6

c)

2 2/6

d)

2 3/6

50.

Convert:
¹⁹/₁₀

a)

9 1/10

b)

1 10/9

c)

9 9/9

d)

1 9/10

51.

Convert:
¹¹/₇

a)

1 4/7

b)

2 2/2

c)

4 1/7

d)

7 1/4

52.

Convert:
¹³/₃

a)

1 3/3

b)

1 5/3

c)

4 1/3

d)

4 2/3

53.

Which mixed number does the model represent?

a)

1 2/7

b)

1 3/8

c)

1 3/7

d)

1 5/7

54.

Which mixed number is represented by the model?

a)

3 1/4

b)

3 4/1

c)

3 3/4

d)

4 1/4

55.

When the numerator is greater than or equal to the denominator is called____

a)

proper fraction

b)

improper fraction

c)

mixed number

d)

all of the above

56.

When converting an improper fraction into a mixed number, you____ the numerator by the denominator.

a)

add

b)

subtract

c)

multiply

d)

divide

57.

When converting a mixed number into an improper fraction, you ___ the whole number by the denominator.

a)

add

b)

subtract

c)

multiply

d)

divide

58.

When converting the mixed number, after you multiply the whole number by the denominator, you___ the product and the old numerator together to become a new numerator of the improper fraction.

a)

add

b)

subtract

c)

multiply

d)

divide

59.

Which is the correct decomposition of $3\frac{3}{4}$

a)

$\frac{4}{4}+\frac{3}{4}$

b)

$\frac{4}{4}+\frac{4}{4}+\frac{4}{4}+\frac{3}{4}$

c)

$\frac{4}{4}+\frac{4}{4}+\frac{4}{4}+\frac{4}{4}+\frac{3}{4}$

d)

$\frac{4}{4}+\frac{4}{4}+\frac{3}{4}$

60.

What is the correct decomposition of $\frac{17}{5}$

a)

$\frac{5}{5}+\frac{5}{5}+\frac{5}{5}+\frac{3}{5}$

b)

$\frac{5}{5}+\frac{2}{5}$

c)

$\frac{5}{5}+\frac{5}{5}+\frac{5}{5}+\frac{2}{5}$

d)

$\frac{5}{5}+\frac{5}{5}+\frac{2}{5}$

61.

Which expression shows the necessary math for making

2\ \frac{2}{5}

into an improper fraction

a)

$2\div5+2$

b)

$2\times5\times2$

c)

$2\times5+2$

d)

$2\times5-2$

62.

Which expression shows the correct steps need to write $\frac{16}{3}$ as a mixed number?

a)

$16\times3$

b)

$16-3$

c)

$16+3$

d)

$16\div3$

63.

What are three types of fractions?

a)

proper fractions

b)

improper fractions

c)

mixed numbers

d)

all of the above

64.

When the numerator is less than the denominator is called____

a)

proper fraction

b)

improper fraction

c)

mixed number

d)

all of the above

65.

A whole number and a fraction together is called____

a)

proper fraction

b)

improper fraction

c)

mixed number

d)

all of the above

66.

Select the improper fractions

a)

2/5

b)

5/2

c)

15/12

d)

12/15

67.

Select the mixed number

a)

3¼

b)

2⅚

c)

7/8

d)

8/6

68.

In converting the improper fraction into a mixed number, after you divide the numerator by the denominator, you put the _____ as a new numerator

a)

dividend

b)

divisor

c)

quotient

d)

remainder

69.

Which number always stays the same when converting improper fractions into mixed numbers or mixed numbers into improper fractions?

a)

numerator

b)

whole number

c)

denominator

d)

fraction bar

Mixed Number & Improper Fractions Fluency

Total questions: 69

Worksheet time: 2hrs 30mins

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