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Simplify each ratioA) 39:52B) 44:77C) 45:81

User Urfusion
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1 Answer

6 votes

A) 3:4

B) 4:7

C) 5:9

To solve this, we need to find the Greatest Common Divisor (GDC) of each pair of numbers.

For pair A)

Factors:

39 => 1, 3 13, 39

52 => 1, 2, 4, 13, 26, 52

The GCD is 13. Then divide both numbers by the GCD:

39/13 = 3

52/13 = 4

The SImplified ratio is 3:4

For B)

Factors:

44 => 1, 2, 4, 11, 22, 44

77 => 1, 7, 11, 77

Then divide by GCD, in this case, 11:

44/11 = 4

77/11 = 7

44:77 => 4:7

For c)

Factors:

45 => 1, 3, 5, 9, 15, 45

81 => 1, 3, 9, 27, 81

The GCD is 9. Then

45/9 = 5

81/9 = 9

The ratio is 45:81 => 5:9

User Nelson Reis
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