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Simplify the following ratio:
60kg to 72kg

A. 120kg to 144kg
B. 30kg to 36kg
C. 6kg to 7kg
D. 15kg to 18kg
E. 5kg to 6kg

Respuesta :

Answer:

C. 6kg to 7kg(is the old one)

Solving steps:

Answer:

60 : 72 = 5 : 6

Solution:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 60 and 72 is 12

Divide both terms by the GCF, 12:

60 ÷ 12 = 5

72 ÷ 12 = 6

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 120 and 144 is 24

Divide both terms by the GCF, 24:

120 ÷ 24 = 5

144 ÷ 24 = 6

The ratio 120 : 144 can be reduced to lowest terms by dividing both terms by the GCF = 24 :

120 : 144 = 5 : 6

Therefore:

120 : 144 = 5 : 6

A) The ratio 60 : 72 can be reduced to lowest terms by dividing both terms by the GCF = 12 :

60 : 72 = 5 : 6

Therefore:

60 : 72 = 5 : 6

Answer:

30 : 36 = 5 : 6

b) Solution:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 30 and 36 is 6

Divide both terms by the GCF, 6:

30 ÷ 6 = 5

36 ÷ 6 = 6

The ratio 30 : 36 can be reduced to lowest terms by dividing both terms by the GCF = 6 :

30 : 36 = 5 : 6

Therefore:

30 : 36 = 5 : 6

Answer:

6 : 7 = 6 : 7

c) Solution:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 6 and 7 is 1

Divide both terms by the GCF, 1:

6 ÷ 1 = 6

7 ÷ 1 = 7

The ratio 6 : 7 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

6 : 7 = 6 : 7

Answer:

15 : 18 = 5 : 6

d) Solution:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 15 and 18 is 3

Divide both terms by the GCF, 3:

15 ÷ 3 = 5

18 ÷ 3 = 6

The ratio 15 : 18 can be reduced to lowest terms by dividing both terms by the GCF = 3 :

15 : 18 = 5 : 6

Therefore:

15 : 18 = 5 : 6

Answer:

5 : 6 = 5 : 6

e) Solution:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 5 and 6 is 1

Divide both terms by the GCF, 1:

5 ÷ 1 = 5

6 ÷ 1 = 6

The ratio 5 : 6 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

5 : 6 = 5 : 6

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