What is ((5/2)/(4/1))/2 ?

The solution to ((5/2)/(4/1))/2 is 5/16

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simplify ((5/2)/(4/1))/2

simplify

\frac{\frac{\frac{5}{2}}{\frac{4}{1}}}{2}

\frac{5}{16}

Solution steps

\frac{\frac{\frac{5}{2}}{\frac{4}{1}}}{2}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{\frac{5}{2}}{\frac{4}{1} \cdot 2}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{5}{2 \cdot \frac{4}{1} \cdot 2}

Divide the numbers:

\frac{4}{1} = 4

= \frac{5}{2 \cdot 4 \cdot 2}

Multiply the numbers:

2 \cdot 4 \cdot 2 = 16

= \frac{5}{16}

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