Ratio - Simplifying Ratios - Grade 7
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Simplify each of the following ratios.
1.
720g
:
1.8kg
2.
16
56
:
7
21
3.
0.56
:
0.91
4.
360mm
:
2.25m
:
80mm
5.
4
:
6
:
5
6
6.
2
0.54
:
0.117
3
:
0.81
Worksheet made by www.thegomom.com. All rights reserved.
Ratio - Simplifying Ratios - Grade 7
www.thegomom.com
Answer Key:
1.
720g
:
Solution:
Step 1: divide
by 9 = 80
2.
720
1000
:
1800
1000
divide
by 9 = 200
Step 2:
div by 10
80
:
200
div by 10
Step 3:
div by 4
8
:
20
div by 4
5
Answer:
2
:
16
56
:
7
21
16
56
÷
÷
4
4
=
4
14


2
7
7
21
÷
÷
7
7
=
1
3


1
3
Step 2:
2
7
:
1
3
Step 3:
2
7
:
1
3
Answer:
6
:
7
0.56
:
0.91
Solution:
Step 1:
3.
1.8kg
(cross multiply)
Solution:
Step 1: Trick: Simplify by finding a number that has multiples ending in 6
and 1.
Step 2:
0.56
÷
7
=
8
(both 56 and 91 are
0.91
÷
7
=
13 divisible by 7)
Answer:
0.08
:
0.13
Worksheet made by www.thegomom.com. All rights reserved.
Ratio - Simplifying Ratios - Grade 7
www.thegomom.com
4.
360mm
Solution:
Step 1:
Step 2:
:
2.25m
:
80mm
360
1000
:
2250
1000
:
80
1000
All numerators are divisible by 5. Divide it by 5.
72
:
450
:
16
:
8
Above ratio
Stepis3:still divisible by 2. Divide it by 2.
Answer:
5.
:
225
4
:
6
:
5
6
2
3
Solution:
Step 1: Find the least common denominator for the fractions. LCD is 6.
4
as is
6
Step 2:
Step 3:
Answer:
6.
36
6
2
multiply to 3
multiply to 3
18
6
5
3
multiply to 2
multiply to 2
10
6
4
6
:
18
6
:
10
6
4
:
18
:
10
Further simplify by dividing all with 2.
2
:
9
:
5
0.54
:
0.117
:
0.81
Solution:
Step 1: Clue: Simplify by finding a number that has multiples ending in 4,7
and 1.
Step 2:
0.54
÷
3
=
18 (numbers 54, 117 & 81
0.117
÷
3
=
39 are divisible by 3)
0.81
÷
3
=
27
Answer:
0.18
:
0.39
:
0.27
Worksheet made by www.thegomom.com. All rights reserved.