How do you simplify ratios?

sample problem: Simplify 70:56

Expert Solution

In this method, we will divide both sides of the ratio by each factor we find in turn.

Given 70:56 , first note that both sides are even (since they end with even digits), so divide both sides by 2 to get:

35:28

Trying each prime number in turn, the next number which both sides are divisible by is 7 , so divide both sides by 7 to get:

5:4

5 and 4 have no common factor, so we can stop.

Method 1: Divide both sides by each common factor you find in turn.

Method 2: Find the greatest common factor of the two numbers and divide both sides by it.

Nipun Maiti answered 2 years ago

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