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

##### Final Answer

The b portions of the ratios match

a : c = **3 : 2**

*You have 2 free calculationss remaining*

##### How does the Combined Ratio Calculator work?

Free Combined Ratio Calculator - Given a ratio a:b and a ratio b:c, this determines the combined ratio a:c

This calculator has 2 inputs.

### What 1 formula is used for the Combined Ratio Calculator?

a:b and b:c → a * c = b * b

For more math formulas, check out our

Formula Dossier
### What 4 concepts are covered in the Combined Ratio Calculator?

- combined ratio
- genrated by taking the product of the antecedents of all the ratios as antecedents and the product of the consequents of all the ratios as consequents
- fraction
- how many parts of a certain size exist

a/b where a is the numerator and b is the denominator - least common multiple
- Given 2 numbers a and b, the least common multiple LCM is the smallest positive integer that is divisible by both. It is commonly denoted as LCM(a, b)
- ratio
- indicates how many times one number contains another

##### Example calculations for the Combined Ratio Calculator

## Combined Ratio Calculator Video

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