Question

(4x2/3)x(5x4/7)÷3x1/4​

Answer 1

Answer:

☞ $\huge{\frac{40}{63}}$

Step by step explanation:

1.) Multiple: 4 * $\frac{2}{3}$ = $\frac{4 \: • \: 2}{1 \: • \: 3 }$ = $\frac{8}{3}$

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2.) Multiple: 5 * $\frac{4}{7} = \frac{5 \: • \: 4}{1 \: • \: 7} = \frac{20}{7}$

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3.) Multiple: $\frac{8}{3} * \frac{20}{7}$ = $\frac{8 \: • \: 20}{3 \: • \: 7 } = \frac{160}{21}$

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4.) Divide:

$3 =  \frac{160}{21} : 3 =  \frac{160}{21} •  \frac{1}{3} =  \frac{160 \: • \: 1}{21 \: • \: 3} =  \frac{160}{63}$

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5.) Multiple:

$\frac{160}{63} * \frac{1}{4} = \frac{160 \: • \: 1 }{63 \: • \: 4} = \frac{160}{252} = \frac{40 \: • \: 4 }{63 \: • \: 4}$

$\huge{ = } \bold{ \frac{40}{63} }$