Enter a:b

Enter b:c


Answer
Success!
a : c = 3 : 2

↓Steps Explained:↓

Given a:b = 5 : 4 and b:c = 6 : 5:

Calculate a:c

Match the b portions of each ratio:

LCM of 4 and 6 = 12

Convert a:b Ratio

12 ÷ 4 = 3

3 x 5 : 3 x 4 = 15 : 12
This is our new a : b ratio

Convert b:c Ratio

12 ÷ 6 = 2

2 x 6 : 2 x 5 = 12 : 10
This is our new b : c ratio

Calculate GCF

The b portions of each ratio match, and we have a : c = 15 : 10

Using our GCF Calculator, we can simplify both parts of our ratio by 5

We can express our ratio as a fraction

15/5
10/5

3
2

Final Answer

The b portions of the ratios match

a : c = 3 : 2
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