What is (2(8/15))/(1-(8/15)^2) ?

The solution to (2(8/15))/(1-(8/15)^2) is 240/161

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simplify (2(8/15))/(1-(8/15)^2)

simplify

\frac{2 ( \frac{8}{15} )}{1 - ( \frac{8}{15} ) ^{2}}

\frac{240}{161}

Decimal Notation

1.49068 \dots

Solution steps

\frac{2 ( \frac{8}{15} )}{1 - ( \frac{8}{15} ) ^{2}}

Apply rule:

(a) = a

(\frac{8}{15}) = \frac{8}{15}

= \frac{2 \cdot \frac{8}{15}}{1 - ( \frac{8}{15} ) ^{2}}

2 \cdot \frac{8}{15} = \frac{16}{15}

= \frac{\frac{16}{15}}{1 - ( \frac{8}{15} ) ^{2}}

Simplify

1 - (\frac{8}{15})^{2} : \frac{161}{225}

= \frac{\frac{16}{15}}{\frac{161}{225}}

Apply the fraction rule:

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

= \frac{16 \cdot 225}{15 \cdot 161}

Cancel

\frac{16 \cdot 225}{15 \cdot 161} : \frac{240}{161}

= \frac{240}{161}

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What is (2(8/15))/(1-(8/15)^2) ?
The solution to (2(8/15))/(1-(8/15)^2) is 240/161