# Combined Ratio for 5:4 and 6:5

<-- Enter a:b or a to b
<-- Enter b:c or b to c

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

## Step 1: We need to match the b portions of each ratio:

Using our LCM Calculator, we find that the least common multiple of 4 and 6 is 12

## Step 2: For our a:b ratio of 5 : 4, we need to multiply each portion of the ratio by 12 ÷ 4 = 3

3 x 5 : 3 x 4 = 15 : 12 ← Our new a : b ratio

## Step 3: For our b:c ratio of 6 : 5, we need to multiply each portion of the ratio by 12 ÷ 6 = 2

2 x 6 : 2 x 5 = 12 : 10 ← Our new b : c ratio

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

Since the b portions of each ratio match, we just take a : c = 3 : 2

Since the b portions of each ratio match, we just take a : c = 3 : 2

### 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?

1. 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