Question

simplify [6/7+3/8-1/2]4/3 and find its reciprocal

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Answer 1

Answer:

$\huge{Question:-}$

Simplify [ $\sf\frac{6}{7}$ + $\sf\frac{3}{8}$ - $\sf\frac{1}{2}$ ] $\sf\frac{4}{3}$ and find its reciprocal.

$\huge{Answer:-}$

[ $\sf\frac{6}{7}$ + $\sf\frac{3}{8}</p><p></p><p>→$ - $\sf\frac{1}{2}$ ] $\sf\frac{4}{3}$

Taking the LCM , we get:-

→ [ $\sf\frac{36+21-28}{56}$ ] $\sf\frac{4}{3}$

→ [ $\sf\frac{57-28}{56}$ ] $\sf\frac{4}{3}$

Now, after removing the brackets from each, we get,

→ $\sf\frac{31×4}{56×3}$

→ $\sf\frac{31}{52}$

Now as we have to find the reciprocal, we reverse the position of numerator and denominator.

→ $\boxed{\sf\frac{52}{31}}$

Answer 2

hope so this would help you