Question

8. Find equivalent forms of the rational numbers having a common denominator in each

of the following collections of rational numbers.
I) 2/5,6/13






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Answer 1

26/65 = 2/5 and 6/13 = 30/65

Explanation:

Hello!

The easiest way to find a common denominator is to find the factors of each denominator:

5: 1, 5

13: 1, 13

So the greatest common factor is 1. That means the smallest possible denominator will be 5 × 13 × 1.

5 × 13 × 1 = 65

So we can put each fraction with a denominator of 65.

65 ÷ 5 = 13

65 ÷ 13 = 5

So we will multiply each numerator by 13 and 5.

2 × 13 = 26

6 × 5 = 30

We will have
`\boxed{(26)/(65) = (2)/(5) $and$ (6)/(13) = (30)/(65)}`

Hope this helps!

:D