Free Printable Converting Mixed Numbers/Improper Fractions & Reducing

1.

Write the improper fraction as a mixed number in simplest form.
⁵/₄ =

a)

1¹/₃

b)

1¹/₄

c)

3¹/₃

d)

3¹/₄

2.

Write the improper fraction as a mixed number in simplest form.
³/₂ =

a)

1¹/₂

b)

²/₃

c)

2¹/₂

d)

1¹/₃

3.

Write the improper fraction as a mixed number in simplest form.
¹⁰/₃

a)

3¹/₃

b)

2³/₂

c)

³/₁₀

d)

3²/₃

4.

Write the improper fraction as a mixed number in simplest form.
⁷/₃ =

a)

2¹/₃

b)

1³/₇

c)

2³/₇

d)

1⁴/₃

5.

Write the mixed number as an improper fraction.
2³/₄ =

a)

¹¹/₄

b)

²³/₄

c)

¹¹/₃

d)

⁹/₄

6.

Write the mixed number as an improper fraction.
5¹/₃ =

a)

¹⁶/₃

b)

⁵¹/₃

c)

⁸/₃

d)

⁹/₅

7.

Write the mixed number as an improper fraction.
3³/₅

a)

¹⁸/₅

b)

¹⁸/₃

c)

¹⁸/₂

d)

³³/₅

8.

Write the mixed number as an improper fraction.
1³/₅ =

a)

⁸/₅

b)

¹³/₅

c)

⁹/₅

d)

¹⁸/₅

9.

Write the improper fraction as a mixed number in simplest form.
¹³/₂ =

a)

6¹/₂

b)

6¹/₃

c)

6²/₁₃

d)

6¹/₁₃

10.

Convert the mixed number into an improper fraction.

2\frac{2}{3}

(a)

11.

Convert the mixed number to an improper fraction:

3\ \frac{1}{5}

(a)

12.

Convert the improper fraction to a mixed number:

\frac{12}{5}

(a)

13.

Convert the improper fraction to a mixed number:

\frac{17}{3}

(a)

14.

Convert the improper fraction to a mixed number:

\frac{16}{4}

a)

$3\ \frac{1}{4}$

b)

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

c)

4

d)

$\frac{4}{16}$

15.

Convert the mixed number to an improper fraction:

8\frac{6}{7}

(a)

16.

A/an _______________________ fraction is a fraction with a numerator that is larger than the denominator.

a)

proper

b)

improper

c)

mixed

d)

reduced

17.

A mixed number is an expression that consists of an integer and a/an ________________________________ fraction.

a)

proper

b)

improper

c)

mixed

d)

reduced

18.

Which of the following fractions are improper? Check all that apply.

a)

$\frac{10}{7}$

b)

$2\ \frac{1}{2}$

c)

$-\frac{1}{3}$

d)

$\frac{-9}{\ 7}$

19.

When converting between improper fractions and mixed numbers, the __________________________ stays the same.

a)

denominator

b)

numerator

c)

whole number

d)

fraction

20.

The improper fraction of this mixed fraction is ...

a)

6/5

b)

11/5

c)

26/5

d)

5/5

21.

Which of the following is an improper fraction?

a)

2/3

b)

3/2

c)

1 2/3

d)

1/3

22.

Which of the following is a mixed number?

a)

123

b)

12/3

c)

2/3

d)

1 2/3

23.

What is the first step in changing a mixed number to an improper fraction?

a)

Add the numerator and denominator

b)

Add the whole number to the numerator

c)

Multiply the numerator and denominator

d)

Multiply the whole number and the denominator

24.

Which mixed number is represented by the model?

a)

3 1/4

b)

3 4/1

c)

3 3/4

d)

4 1/4

25.

What is true about Improper Fractions?

a)

All Improper Fractions are greater than 1.

b)

All improper fractions have numerators that are bigger than their denominators.

c)

All improper fractions can be turned into a mixed number.

d)

All of these statements are true!

26.

Convert to an improper fraction

a)

5/4

b)

4/5

c)

11/4

d)

4/11

27.

Convert to an improper fraction

a)

21/4

b)

9/4

c)

4/9

d)

2/4

28.

$\frac{24}{5}$ Convert to a mixed number

a)

$3\ \frac{9}{5}$

b)

$3\ \frac{2}{5}$

c)

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

d)

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

29.

$\frac{33}{4}$ Convert to a mixed number

a)

$7\ \frac{3}{4}$

b)

$6\ \frac{2}{4}$

c)

$8\ \frac{2}{4}$

d)

$8\ \frac{1}{4}$

30.

Convert $\frac{22}{4}$ into a mixed number.

a)

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

b)

$4\ \frac{5}{22}$

c)

$6\ \frac{1}{2}$

d)

None of the above

31.

Convert $3\frac{1}{4}$ into an improper fraction.

a)

$1\frac{12}{4}$

b)

$\frac{13}{3}$

c)

$\frac{15}{4}$

d)

None of the above

32.

Convert $\frac{19}{7}$ into a mixed number.

a)

$3\ \frac{1}{7}$

b)

$2\ \frac{6}{7}$

c)

$2\frac{5}{7}$

d)

None of the above

33.

Convert $2\frac{3}{5}$ into an improper fraction.

a)

$\frac{13}{5}$

b)

$\frac{21}{5}$

c)

$\frac{10}{5}$

d)

None of the above

34.

Convert $\frac{11}{6}$ into a mixed number.

a)

$2\ \frac{1}{6}$

b)

$1\frac{5}{6}$

c)

$1\frac{6}{5}$

d)

None of the above

35.

Convert $6\frac{1}{3}$ into an improper fraction.

a)

$\frac{10}{3}$

b)

$\frac{19}{3}$

c)

$\frac{17}{3}$

d)

None of the above

36.

Convert $\frac{16}{8}$ into a mixed number.

a)

$2$

b)

$1\frac{7}{8}$

c)

$2\frac{1}{8}$

d)

None of the above

37.

Convert $\frac{13}{7}$ into a mixed number.

a)

$2$

b)

$1\frac{7}{6}$

c)

$1\frac{3}{7}$

d)

None of the above

38.

Convert $5\frac{1}{6}$ into an improper fraction.

a)

$\frac{11}{5}$

b)

$\frac{12}{6}$

c)

$\frac{31}{6}$

d)

None of the above

39.

Convert $4\frac{2}{7}$ into an improper fraction.

a)

$\frac{13}{7}$

b)

$\frac{30}{7}$

c)

$\frac{15}{7}$

d)

None of the above

40.

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

41.

Which fraction is equivalent to 1/2?

a)

10/19

b)

10/17

c)

10/11

d)

10/20

42.

4. Reduce or Simplify 6/9.

a)

2/3

b)

3/3

c)

9/6

d)

1/9

43.

To put a fraction in simplest form, you will need to do this to the numerator and denominator

a)

subtract both by same number

b)

divide both by the same number

c)

add the same number to both

d)

multiply both by the same number

44.

A fraction is in simplest form when the numerator and denominator

a)

are the same

b)

are both even

c)

are both odd

d)

have no common factor other than 1

45.

Which is NOT an equivalent

fraction to: 3/4

a)

75/100

b)

9/16

c)

9/12

d)

30/40

46.

2 over 8

a)

2/4

b)

1/4

c)

1/8

47.

Reduce 10/30

a)

1/3

b)

2/6

c)

it is reduced as far as it can go

48.

Reduce:
7/56

a)

1/7

b)

7/56

c)

1/6

d)

1/8

49.

Reduce 12/40

a)

Already reduced

b)

6/10

c)

3/10

d)

2/7

50.

Reduce: 6/15

a)

2/5

b)

3/5

c)

4/9

51.

Simplify 3/9

a)

1/3

b)

2/3

c)

1/9

d)

3/9

52.

Reduce the fraction:
15/30

a)

1/2

b)

5/10

c)

3/15

d)

3/15

53.

Simplify the fraction:
15/12

a)

4/3

b)

5/4

c)

5/3

d)

3

54.

Find an equivalent fraction:
24/6

a)

12/3

b)

12/4

c)

4/12

d)

3/12

55.

Reduce the fraction:
8/24

a)

1/12

b)

1/3

c)

2/12

d)

4/8

56.

Find an equivalent fraction:
1/4

a)

2/4

b)

2/6

c)

2/8

d)

2/10

57.

Reduce:
25/75

a)

5/25

b)

5/15

c)

1/3

d)

1/25

58.

Which is NOT an equivalent fraction to:
1/5

a)

2/10

b)

5/25

c)

3/15

d)

4/25

59.

Reduce:
5/100

a)

1/25

b)

1/20

c)

1/30

d)

1/35

60.

Reduce 12/12

a)

12/12

b)

1/3

c)

1

d)

1/4

61.

Reduce: 6/15

a)

2/5

b)

3/5

c)

4/9

62.

Reduce the fraction:
15/30

a)

1/2

b)

5/10

c)

3/15

d)

3/15

63.

Simplify the fraction:
15/12

a)

4/3

b)

5/4

c)

5/3

d)

3

64.

Find an equivalent fraction:
24/6

a)

12/3

b)

12/4

c)

4/12

d)

3/12

65.

Reduce the fraction:
8/24

a)

1/12

b)

1/3

c)

2/12

d)

4/8

66.

Simplify 6/4.

a)

2/3

b)

4/6

c)

3/2

d)

1 3/2

67.

Reduce:
25/75

a)

5/25

b)

5/15

c)

1/3

d)

1/25

68.

Reduce:
7/56

a)

1/7

b)

7/56

c)

1/6

d)

1/8

69.

Reduce:
5/100

a)

1/25

b)

1/20

c)

1/30

d)

1/35

70.

Reduce: 6/15

a)

2/5

b)

3/5

c)

4/9

71.

Simplify the fraction:
15/12

a)

4/3

b)

5/4

c)

5/3

d)

3

72.

Reduce the fraction:
15/30

a)

1/2

b)

5/10

c)

3/15

d)

3/15

73.

Reduce the fraction:
8/24

a)

1/12

b)

1/3

c)

2/12

d)

4/8

74.

What is 25/100 in lowest terms?

a)

😁

b)

1/4

c)

1/6

d)

1/3

75.

What is 10/100 in lowest terms

a)

1/10

b)

3/10

c)

7/10

d)

😍

76.

8/32

a)

1/4

b)

4/16

c)

1/2

77.

4/8

a)

1/4

b)

2/4

c)

1/2

78.

8/40

a)

1/2

b)

1/8

c)

1/5

79.

2/10

a)

1/10

b)

5/5

c)

1/5

80.

4/16

a)

4/8

b)

2/8

c)

1/4

81.

What fraction of the rectangle is blue?

a)

1/6

b)

1/3

c)

6/2

d)

2/3

82.

Convert 3 ¹/₃to an improper fraction.

a)

⁴/₃

b)

⁹/₃

c)

¹⁰/₃

d)

2 ⁴/₃

83.

Convert ¹²/₅ to a mixed fraction in lowest terms.

a)

10 ²/₅

b)

1 ⁷/₅

c)

²/₅

d)

2 ²/₅

84.

Compare these two fractions. (use common denominators) Choose the correct symbol to go in the bubble.

a)

>

b)

<

c)

=

85.

Compare these two fractions. (use common denominators) Choose the correct symbol to go in the bubble.

a)

>

b)

<

c)

=

86.

Compare these two fractions. (use common denominators) Choose the correct symbol to go on the line.

1/3 ___ 2/7

a)

>

b)

<

c)

=

87.

Which fraction would make this statement true?
2 / 3 < _____

a)

2/3

b)

1/3

c)

1/2

d)

3/3

88.

Which fraction is NOT equal to one half?

a)

2/4

b)

2/3

c)

4/8

d)

3/6

89.

Select the equivalent fraction for 1/10

a)

3/20

b)

2/25

c)

3/10

d)

4/40

90.

A fraction is in simplest form when the numerator and denominator

a)

are the same

b)

are both even

c)

are both odd

d)

have no common factor other than 1

91.

reduce 12/12

a)

12/12

b)

1/3

c)

1

d)

1/4

92.

Reduce the fraction:
15/30

a)

1/2

b)

5/10

c)

3/15

d)

3/15

93.

Reduce the fraction:
8/24

a)

1/12

b)

1/3

c)

2/12

d)

4/8

94.

Reduce ⁴/₁₂

a)

⁷/₁₄

b)

¹/₃

c)

¹/₄

d)

²/₄

95.

Reduce 3/9

a)

1/3

b)

2/3

c)

1/9

d)

3/9

96.

Reduce 12/16

a)

3/4

b)

6/8

c)

it is reduced as far as it can go

97.

Reduce 20/36

a)

5/7

b)

5/12

c)

5/9

98.

Completely reduce 40/60

a)

4/6

b)

10/6

c)

2/3

d)

4/10

Converting Mixed Numbers/Improper Fractions & Reducing

Total questions: 98

Worksheet time: 2hrs 15mins

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