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Name
Grade
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Date
Questions20
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1

What is the ratio of 6 and 15?

2

What is the ratio of 10 and 15?

3

What is the ratio of 70 and 30?

4

What is the ratio of 75 and 25?

5

What is the ratio of 780 and 220?

6

What is the ratio of 81 and 108?

7

What is the ratio of 20 and 80?

8

What is the ratio of 8 and 12?

9

What is the ratio of 10 and 8?

10

What is the ratio of 98 and 63?

11

What is the ratio of 600 and 90?

12

What is the ratio of 4 and 12?

13

What is the ratio of 180 and 56?

14

What is the ratio of 96 and 64?

15

What is the ratio of 102 and 3300?

16

What is the ratio of 6 and 8?

17

What is the ratio of 6 and 4?

18

What is the ratio of 92 and 64?

19

What is the ratio of 50 and 30?

20

What is the ratio of 60 and 40?

Answers Key

Show All Workout

1

What is the ratio of 6 and 15?

2:5

step 1

Find the GCF of 6 and 15

GCF(6, 15) = 3

GCF(6, 15) = 3

step 2

Express the ratio in fraction form

6:15 can be expressed as a fraction

615

step 3

Multiply GCF with both numerator and denominator

615

=

6 ÷ 315 ÷ 3

=

25

step 4

Write the fraction in ratio

25

can rewrite as 2:5

step 5

Write the statement

2:5 is the simplest form of 6:15

2:5 is the simplest form of 6:15

2

What is the ratio of 10 and 15?

2:3

step 1

Find the GCF of 10 and 15

GCF(10, 15) = 5

GCF(10, 15) = 5

step 2

Express the ratio in fraction form

10:15 can be expressed as a fraction

1015

step 3

Multiply GCF with both numerator and denominator

1015

=

10 ÷ 515 ÷ 5

=

23

step 4

Write the fraction in ratio

23

can rewrite as 2:3

step 5

Write the statement

2:3 is the simplest form of 10:15

2:3 is the simplest form of 10:15

3

What is the ratio of 70 and 30?

7:3

step 1

Find the GCF of 70 and 30

GCF(70, 30) = 10

GCF(70, 30) = 10

step 2

Express the ratio in fraction form

70:30 can be expressed as a fraction

7030

step 3

Multiply GCF with both numerator and denominator

7030

=

70 ÷ 1030 ÷ 10

=

73

step 4

Write the fraction in ratio

73

can rewrite as 7:3

step 5

Write the statement

7:3 is the simplest form of 70:30

7:3 is the simplest form of 70:30

4

What is the ratio of 75 and 25?

3:1

step 1

Find the GCF of 75 and 25

GCF(75, 25) = 25

GCF(75, 25) = 25

step 2

Express the ratio in fraction form

75:25 can be expressed as a fraction

7525

step 3

Multiply GCF with both numerator and denominator

7525

=

75 ÷ 2525 ÷ 25

=

31

step 4

Write the fraction in ratio

31

can rewrite as 3:1

step 5

Write the statement

3:1 is the simplest form of 75:25

3:1 is the simplest form of 75:25

5

What is the ratio of 780 and 220?

39:11

step 1

Find the GCF of 780 and 220

GCF(780, 220) = 20

GCF(780, 220) = 20

step 2

Express the ratio in fraction form

780:220 can be expressed as a fraction

780220

step 3

Multiply GCF with both numerator and denominator

780220

=

780 ÷ 20220 ÷ 20

=

3911

step 4

Write the fraction in ratio

3911

can rewrite as 39:11

step 5

Write the statement

39:11 is the simplest form of 780:220

39:11 is the simplest form of 780:220

6

What is the ratio of 81 and 108?

3:4

step 1

Find the GCF of 81 and 108

GCF(81, 108) = 27

GCF(81, 108) = 27

step 2

Express the ratio in fraction form

81:108 can be expressed as a fraction

81108

step 3

Multiply GCF with both numerator and denominator

81108

=

81 ÷ 27108 ÷ 27

=

34

step 4

Write the fraction in ratio

34

can rewrite as 3:4

step 5

Write the statement

3:4 is the simplest form of 81:108

3:4 is the simplest form of 81:108

7

What is the ratio of 20 and 80?

1:4

step 1

Find the GCF of 20 and 80

GCF(20, 80) = 20

GCF(20, 80) = 20

step 2

Express the ratio in fraction form

20:80 can be expressed as a fraction

2080

step 3

Multiply GCF with both numerator and denominator

2080

=

20 ÷ 2080 ÷ 20

=

14

step 4

Write the fraction in ratio

14

can rewrite as 1:4

step 5

Write the statement

1:4 is the simplest form of 20:80

1:4 is the simplest form of 20:80

8

What is the ratio of 8 and 12?

2:3

step 1

Find the GCF of 8 and 12

GCF(8, 12) = 4

GCF(8, 12) = 4

step 2

Express the ratio in fraction form

8:12 can be expressed as a fraction

812

step 3

Multiply GCF with both numerator and denominator

812

=

8 ÷ 412 ÷ 4

=

23

step 4

Write the fraction in ratio

23

can rewrite as 2:3

step 5

Write the statement

2:3 is the simplest form of 8:12

2:3 is the simplest form of 8:12

9

What is the ratio of 10 and 8?

5:4

step 1

Find the GCF of 10 and 8

GCF(10, 8) = 2

GCF(10, 8) = 2

step 2

Express the ratio in fraction form

10:8 can be expressed as a fraction

108

step 3

Multiply GCF with both numerator and denominator

108

=

10 ÷ 28 ÷ 2

=

54

step 4

Write the fraction in ratio

54

can rewrite as 5:4

step 5

Write the statement

5:4 is the simplest form of 10:8

5:4 is the simplest form of 10:8

10

What is the ratio of 98 and 63?

14:9

step 1

Find the GCF of 98 and 63

GCF(98, 63) = 7

GCF(98, 63) = 7

step 2

Express the ratio in fraction form

98:63 can be expressed as a fraction

9863

step 3

Multiply GCF with both numerator and denominator

9863

=

98 ÷ 763 ÷ 7

=

149

step 4

Write the fraction in ratio

149

can rewrite as 14:9

step 5

Write the statement

14:9 is the simplest form of 98:63

14:9 is the simplest form of 98:63

11

What is the ratio of 600 and 90?

20:3

step 1

Find the GCF of 600 and 90

GCF(600, 90) = 30

GCF(600, 90) = 30

step 2

Express the ratio in fraction form

600:90 can be expressed as a fraction

60090

step 3

Multiply GCF with both numerator and denominator

60090

=

600 ÷ 3090 ÷ 30

=

203

step 4

Write the fraction in ratio

203

can rewrite as 20:3

step 5

Write the statement

20:3 is the simplest form of 600:90

20:3 is the simplest form of 600:90

12

What is the ratio of 4 and 12?

1:3

step 1

Find the GCF of 4 and 12

GCF(4, 12) = 4

GCF(4, 12) = 4

step 2

Express the ratio in fraction form

4:12 can be expressed as a fraction

412

step 3

Multiply GCF with both numerator and denominator

412

=

4 ÷ 412 ÷ 4

=

13

step 4

Write the fraction in ratio

13

can rewrite as 1:3

step 5

Write the statement

1:3 is the simplest form of 4:12

1:3 is the simplest form of 4:12

13

What is the ratio of 180 and 56?

45:14

step 1

Find the GCF of 180 and 56

GCF(180, 56) = 4

GCF(180, 56) = 4

step 2

Express the ratio in fraction form

180:56 can be expressed as a fraction

18056

step 3

Multiply GCF with both numerator and denominator

18056

=

180 ÷ 456 ÷ 4

=

4514

step 4

Write the fraction in ratio

4514

can rewrite as 45:14

step 5

Write the statement

45:14 is the simplest form of 180:56

45:14 is the simplest form of 180:56

14

What is the ratio of 96 and 64?

3:2

step 1

Find the GCF of 96 and 64

GCF(96, 64) = 32

GCF(96, 64) = 32

step 2

Express the ratio in fraction form

96:64 can be expressed as a fraction

9664

step 3

Multiply GCF with both numerator and denominator

9664

=

96 ÷ 3264 ÷ 32

=

32

step 4

Write the fraction in ratio

32

can rewrite as 3:2

step 5

Write the statement

3:2 is the simplest form of 96:64

3:2 is the simplest form of 96:64

15

What is the ratio of 102 and 3300?

17:550

step 1

Find the GCF of 102 and 3300

GCF(102, 3300) = 6

GCF(102, 3300) = 6

step 2

Express the ratio in fraction form

102:3300 can be expressed as a fraction

1023300

step 3

Multiply GCF with both numerator and denominator

1023300

=

102 ÷ 63300 ÷ 6

=

17550

step 4

Write the fraction in ratio

17550

can rewrite as 17:550

step 5

Write the statement

17:550 is the simplest form of 102:3300

17:550 is the simplest form of 102:3300

16

What is the ratio of 6 and 8?

3:4

step 1

Find the GCF of 6 and 8

GCF(6, 8) = 2

GCF(6, 8) = 2

step 2

Express the ratio in fraction form

6:8 can be expressed as a fraction

68

step 3

Multiply GCF with both numerator and denominator

68

=

6 ÷ 28 ÷ 2

=

34

step 4

Write the fraction in ratio

34

can rewrite as 3:4

step 5

Write the statement

3:4 is the simplest form of 6:8

3:4 is the simplest form of 6:8

17

What is the ratio of 6 and 4?

3:2

step 1

Find the GCF of 6 and 4

GCF(6, 4) = 2

GCF(6, 4) = 2

step 2

Express the ratio in fraction form

6:4 can be expressed as a fraction

64

step 3

Multiply GCF with both numerator and denominator

64

=

6 ÷ 24 ÷ 2

=

32

step 4

Write the fraction in ratio

32

can rewrite as 3:2

step 5

Write the statement

3:2 is the simplest form of 6:4

3:2 is the simplest form of 6:4

18

What is the ratio of 92 and 64?

23:16

step 1

Find the GCF of 92 and 64

GCF(92, 64) = 4

GCF(92, 64) = 4

step 2

Express the ratio in fraction form

92:64 can be expressed as a fraction

9264

step 3

Multiply GCF with both numerator and denominator

9264

=

92 ÷ 464 ÷ 4

=

2316

step 4

Write the fraction in ratio

2316

can rewrite as 23:16

step 5

Write the statement

23:16 is the simplest form of 92:64

23:16 is the simplest form of 92:64

19

What is the ratio of 50 and 30?

5:3

step 1

Find the GCF of 50 and 30

GCF(50, 30) = 10

GCF(50, 30) = 10

step 2

Express the ratio in fraction form

50:30 can be expressed as a fraction

5030

step 3

Multiply GCF with both numerator and denominator

5030

=

50 ÷ 1030 ÷ 10

=

53

step 4

Write the fraction in ratio

53

can rewrite as 5:3

step 5

Write the statement

5:3 is the simplest form of 50:30

5:3 is the simplest form of 50:30

20

What is the ratio of 60 and 40?

3:2

step 1

Find the GCF of 60 and 40

GCF(60, 40) = 20

GCF(60, 40) = 20

step 2

Express the ratio in fraction form

60:40 can be expressed as a fraction

6040

step 3

Multiply GCF with both numerator and denominator

6040

=

60 ÷ 2040 ÷ 20

=

32

step 4

Write the fraction in ratio

32

can rewrite as 3:2

step 5

Write the statement

3:2 is the simplest form of 60:40

3:2 is the simplest form of 60:40

Express the ratios in simplest form worksheets (questions with answers) for 6th grade math curriculum is available online for free in printable and downloadable (pdf & image) format. Tap on PRINT, PDF or IMAGE button to print or download this grade-6 ratio & proportion worksheet to practice how to reduce the ratios to its lowest form.

In this sixth grade ratio & proportion worksheet, students are required to simplify the given ratio by using GCF (Greatest Common Factor). To find the simplified form of ratio, divide ANTECEDENT and CONSEQUENT of ratio by the GCF of these two numbers in the ratio. Dividing both antecedent and consequent of ratio by a same number would not change the value of that ratio.

Teachers, tutors, parents or students can check or validate the solved questions of writing ratios in the reduced form by using the corresponding answers key which comprises the step by step work on how to find the ratio in the simplest form, for each problem of this worksheet.

Students, teachers, tutors or parents can generate unlimited set of questions and answers by using this "**NEW WORKSHEET**" button to prepare exam, assignments, classwork or homework problems, or step by step work on writing ratios in the simplest form.

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Hey! I'm Kitty

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