Question

add the fractions: 3/5+5/8+7/10​

Answer 1

Hey!!! your answer is... 77/40

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Answer 2

Given: $\frac{3}{5} + \frac{5}{8} + \frac{7}{10}$

To find: The value of given expression

Solution: To add the given fractions, first we need to make their denominators same.

Taking LCM of denominators 5, 8 and 10

Using Prime factorization method:

5 = 5 × 1

8 = 2 × 2 × 2 × 1

10 = 2 × 5 × 1

LCM is the product of maximum frequencies of all the common factors of given numbers.

LCM of 5, 8 and 10 = 2 × 2 × 2 × 5 = 40 (2 occurs maximum 3 times and 5 occurs maximum 1 time)

⇒ $\frac{3}{5} + \frac{5}{8} + \frac{7}{10} = \frac{8 * 3 \ + \ 5 * 5 \ + \ 4 * 7}{40}$

⇒ $\frac{24 \ + \ 25 \ + \ 28}{40} = \frac{77}{40}$

Hence, the sum of given fractions is $\frac{77}{40}$.