Question

simplify: 2/3 × 9/16 × 4/27=?​

Answer 1

Step-by-step explanation:

2/3*9/16*4/27

1/18

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Answer 2

Answer:

$\dfrac{2}{3}\times \dfrac{9}{16}\times \dfrac{4}{27}=\dfrac{1}{18}\quad \left(\mathrm{Decimal:\quad }\:0.05556\dots \right)$

Step-by-step explanation:

$\dfrac{2}{3}\times \dfrac{9}{16}\times \dfrac{4}{27}$

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

$=\dfrac{2\times \:9\times \:4}{3\times \:16\times \:27}$

$\mathrm{Multiply\:the\:numbers:}\:2\times \:9\times \:4=72$

$=\dfrac{72}{3\times \:16\times \:27}$

$\mathrm{Multiply\:the\:numbers:}\:3\times \:16\times \:27=1296$

$=\dfrac{72}{1296}$

$\mathrm{Cancel\:the\:common\:factor:}\:72$

$=\dfrac{1}{18}$