Question

Find 3/7+6/11+[-8/12]

Answer 1

Given

3/7 + (- 6/11) + (- 8/21) + (5/22)

Taking L.C.M. of the denominators 7, 11, 21 and 22 and then solving it.

Let us determine LCM. of 7, 11, 21 and 22 by prime factorization method

Factors of 7 = 7 x 1

Factors of 11= 11 x 1

Factors of 21= 3 x 7

Factors of 22 = 2 x 11

LCM of 7, 11, 21,22 = 2 x 3 x 7 x 11 = 462

LCM of 7, 11, 21,22 = 462

On solving the expression by taking the LCM we get

= (462/7) x 3 – (462/11) x 6 – (462/21) x 8 + (462/22) x 5

= (198/462) – (252/462) – (176/462) + (105/462)

= (303/462) – (428/462)

= (-125/462)

Answer

3/7 + (- 6/11) + (- 8/21) + (5/22)=(-125/462)

Answer 2

$\frac{3}{7} + \frac{6}{11} + ( - \frac{8}{12} ) = \frac{71}{231}$