Combined Ratio for 5:4 and 6:5

Publish date: 2024-06-26
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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 1 free calculations remaining


What is the Answer?

a : c = 3 : 2

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 consequentsfractionhow many parts of a certain size exist
a/b where a is the numerator and b is the denominatorleast common multipleGiven 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)ratioindicates how many times one number contains another

Example calculations for the Combined Ratio Calculator

Combined Ratio Calculator Video


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