Question

Evaluate 3/7+-11/4+16/5+-18/7​

Answer 1

Answer:

3/7 + (-11/4) + 16/5 + (-18/7) = -237/140

Step-by-step explanation:

Given that,

3/7 + (-11/4) + 16/5 + (-18/7)

(∵as we know that, '+' × '-' = '-' )

⇒ 3/7 - 11/4 + 16/5 - 18/7

By rearranging the terms,

⇒ 3/7 - 18/7 + 16/5 - 11/4

now, take LCM

⇒ (3-18)/7 + (16×4 - 11×5)/20

(∵ the LCM of 4 & 5 is 20)

⇒ (-15/7) + (64-55)/20

⇒ (-15/7) + 9/20

Take LCM,

(∵ the LCM of 7 & 20 is 140)

⇒ (-15×20 + 9×7)/140

⇒ (-300+63)/140

⇒ -237/140

∴ 3/7 + (-11/4) + 16/5 + (-18/7) = -237/140

HOPE THIS WOULD BE HELPFUL FOR YOU