Question

(-4/8) ✖ 3/7 ✖ 15/16 ✖ (-14/9​

Answer 1

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Step-by-step explanation:

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Answer 2

Answer:

$\left(-\dfrac{4}{8}\right)\dfrac{3}{7}\times \dfrac{15}{16}\left(-\dfrac{14}{9}\right)=\dfrac{5}{16}\quad \left(\mathrm{Decimal:\quad }\:0.3125\right)$

Step-by-step explanation:

$\left(-\dfrac{4}{8}\right)\dfrac{3}{7}\times \dfrac{15}{16}\left(-\dfrac{14}{9}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a$

$=\dfrac{4}{8}\times \dfrac{3}{7}\times \dfrac{15}{16}\times \dfrac{14}{9}$

$=\dfrac{1}{2}\times \dfrac{3}{7}\times \dfrac{14}{9}\times \dfrac{15}{16}$

$\mathrm{Multiply\:fractions}:\quad \dfrac{a}{b}\times \dfrac{c}{d}=\dfrac{a\:\times \:c}{b\:\times \:d}$

$=\dfrac{1\times \:3\times \:15\times \:14}{2\times \:7\times \:16\times \:9}$

$\mathrm{Multiply\:the\:numbers:}\:1\times \:3\times \:15\times \:14=630$

$=\dfrac{630}{2\times \:7\times \:16\times \:9}$

$\mathrm{Multiply\:the\:numbers:}\:2\times \:7\times \:16\times \:9=2016$

$=\dfrac{630}{2016}$

$\mathrm{Cancel\:the\:common\:factor:}\:126$

$=\dfrac{5}{16}$