Question

Simplify {3/8-7/11}x{-4/7x7/16}

Answer 1

QUESTION:-

$\sf\therefore Simplify\: \bigg[ \dfrac{3}{8}- \dfrac{7}{11} \bigg] \times \bigg[ \dfrac{-4}{7} \times \dfrac{7}{16} \bigg]$

ANSWER✔

$\sf\therefore Simplify\: \bigg[ \dfrac{3}{8}- \dfrac{7}{11} \bigg] \times \bigg[ \dfrac{-4}{7} \times \dfrac{7}{16} \bigg]$

$\sf\implies \bigg[ \dfrac{3}{8}- \dfrac{7}{11} \bigg] \times \bigg[ \dfrac{\cancel {-4}}{\cancel {7}} \times \dfrac{\cancel{7}}{\cancel{16}} \bigg]$

$\sf\implies \bigg[ \dfrac{33-56}{88} \bigg] \times \bigg[ \dfrac{-1}{4}\bigg]$

$\sf\implies \bigg[ \dfrac{-23}{88} \bigg] \times \bigg[ \dfrac{-1}{4}\bigg]$

$\sf\implies \bigg[ \dfrac{-23}{88} \times \dfrac{-1}{4}\bigg]$

$\sf\implies \bigg[ \dfrac{23}{88 \times 4} \bigg]$

$\sf\implies \bigg[ \dfrac{23}{352} \bigg]$

$\large{\boxed{\bf{\star \: = \bigg[ \dfrac{23}{352} \bigg] \: \star}}}$

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Answer 2

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$\sf\therefore Simplify\: \bigg[ \dfrac{3}{8}- \dfrac{7}{11} \bigg] \times \bigg[ \dfrac{-4}{7} \times \dfrac{7}{16} \bigg]$

$\sf\implies \bigg[ \dfrac{3}{8}- \dfrac{7}{11} \bigg] \times \bigg[ \dfrac{\cancel {-4}}{\cancel {7}} \times \dfrac{\cancel{7}}{\cancel{16}} \bigg]$

$\sf\implies \bigg[ \dfrac{33-56}{88} \bigg] \times \bigg[ \dfrac{-1}{4}\bigg]$

$\sf\implies \bigg[ \dfrac{-23}{88} \bigg] \times \bigg[ \dfrac{-1}{4}\bigg]$

$\sf\implies \bigg[ \dfrac{-23}{88} \times \dfrac{-1}{4}\bigg]$

$\sf\implies \bigg[ \dfrac{23}{88 \times 4} \bigg]$

$\sf\implies \bigg[ \dfrac{23}{352} \bigg]$

$\large{\boxed{\bf{\star \: = \bigg[ \dfrac{23}{352} \bigg] \: \star}}}$