Question

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

Answer 1

$\huge{\underline{\underline{\red{♡Solution→}}}}$

$( \frac{6}{7} + \frac{3}{8} - \frac{1}{2} ) \frac{4}{3} \\ = ( \frac{6 \times 8 + 3 \times 7 - 28}{56} ) \frac{4}{3}$

$= (\frac{48 + 21 - 28}{56} ) \times \frac{4}{3} \\ = ( \frac{41}{56} ) \times \frac{4}{3}$

$= \frac{41}{14} \times \frac{1}{3} \\ = \frac{41}{42}$

Reciprocal :

To find the reciprocal of any number just calculate "1 ÷ (That number)" . And for a fraction, the reciprocal is just a different fraction with the numbers "flipped" upside down or inverted.

So the Reciprocal of This number is →

$= \frac{1}{\frac{41}{42}}$

$\boxed{= \frac{42}{41}}$

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