Given a:b =

9 :

5 and b:c =

7 :

2:

Calculate a:c

## Match the b portions of each ratio:

LCM of 5 and 7 = 35## Convert a:b Ratio

35 ÷

5 = 7

7 x

9 : 7 x

5 =

63 :

35This is our new a : b ratio

## Convert b:c Ratio

35 ÷

7 = 5

5 x

7 : 5 x

2 =

35 :

10This is our new b : c ratio

## Final Answer

The

b portions of the ratios match

a : c = **63 : 10**

### How does the Combined Ratio Calculator work?

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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