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Express the Ratios in Simplest Form

Name Grade School
Date Questions20 Score
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
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
What is the ratio of 10 and 15?
2:3
step 1
Find the GCF of 10 and 15
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
3
What is the ratio of 70 and 30?
7:3
step 1
Find the GCF of 70 and 30
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
4
What is the ratio of 75 and 25?
3:1
step 1
Find the GCF of 75 and 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
5
What is the ratio of 780 and 220?
39:11
step 1
Find the GCF of 780 and 220
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
6
What is the ratio of 81 and 108?
3:4
step 1
Find the GCF of 81 and 108
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
7
What is the ratio of 20 and 80?
1:4
step 1
Find the GCF of 20 and 80
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
8
What is the ratio of 8 and 12?
2:3
step 1
Find the GCF of 8 and 12
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
9
What is the ratio of 10 and 8?
5:4
step 1
Find the GCF of 10 and 8
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
10
What is the ratio of 98 and 63?
14:9
step 1
Find the GCF of 98 and 63
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
11
What is the ratio of 600 and 90?
20:3
step 1
Find the GCF of 600 and 90
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
12
What is the ratio of 4 and 12?
1:3
step 1
Find the GCF of 4 and 12
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
13
What is the ratio of 180 and 56?
45:14
step 1
Find the GCF of 180 and 56
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
14
What is the ratio of 96 and 64?
3:2
step 1
Find the GCF of 96 and 64
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
15
What is the ratio of 102 and 3300?
17:550
step 1
Find the GCF of 102 and 3300
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
16
What is the ratio of 6 and 8?
3:4
step 1
Find the GCF of 6 and 8
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
17
What is the ratio of 6 and 4?
3:2
step 1
Find the GCF of 6 and 4
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
18
What is the ratio of 92 and 64?
23:16
step 1
Find the GCF of 92 and 64
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
19
What is the ratio of 50 and 30?
5:3
step 1
Find the GCF of 50 and 30
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
20
What is the ratio of 60 and 40?
3:2
step 1
Find the GCF of 60 and 40
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

Express Ratios in Lowest Form Worksheet

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.

How to Use this Worksheet

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.

Answers Key

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.

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