Evaluate 3/7+-11/4+16/5+-18/7
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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
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