Question

evaluate 3/7 + -4/9 + -11/7 + 7/9​

Answer 1

Answer :-

• -17/21

To Find :-

$\sf\:The\:value\:of\:\cfrac{3}{7} +\cfrac{ - 4}{9}+\cfrac{ - 11}{7}+\cfrac{7}{9}$

Step By Step Solution :-

For this question first we will find the L.C.M. and then evaluate the given fractions.

So let's do It !!

$\implies\sf\cfrac{3}{7} - \cfrac{4}{9} - \cfrac{11}{7} + \cfrac{7}{9} \\ \\ \implies\: L.C.M \\ \\ \implies \sf \cfrac{3 \times 9 - 4 \times 7 - 11 \times 9 + 7 \times 7}{63} \\ \\ \implies \sf \cfrac{27 - 28 - 99 + 49}{63} \\ \\ \implies \sf\cfrac{76 - 127}{63} \\ \\ \implies \sf \cancel\cfrac{-51}{63} \\ \\ \implies\sf \cfrac{-17}{21}$

Therefore -17/21 is the answer of the given question.

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