What is (2(7/24))/(1-(7/24)^2) ?

The solution to (2(7/24))/(1-(7/24)^2) is 336/527

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simplify (2(7/24))/(1-(7/24)^2)

simplify

\frac{2 ( \frac{7}{24} )}{1 - ( \frac{7}{24} ) ^{2}}

\frac{336}{527}

Decimal Notation

0.63757 \dots

Solution steps

\frac{2 ( \frac{7}{24} )}{1 - ( \frac{7}{24} ) ^{2}}

Apply rule:

(a) = a

(\frac{7}{24}) = \frac{7}{24}

= \frac{2 \cdot \frac{7}{24}}{1 - ( \frac{7}{24} ) ^{2}}

2 \cdot \frac{7}{24} = \frac{7}{12}

= \frac{\frac{7}{12}}{1 - ( \frac{7}{24} ) ^{2}}

Simplify

1 - (\frac{7}{24})^{2} : \frac{527}{576}

= \frac{\frac{7}{12}}{\frac{527}{576}}

Apply the fraction rule:

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

= \frac{7 \cdot 576}{12 \cdot 527}

Cancel

\frac{7 \cdot 576}{12 \cdot 527} : \frac{336}{527}

= \frac{336}{527}

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What is (2(7/24))/(1-(7/24)^2) ?
The solution to (2(7/24))/(1-(7/24)^2) is 336/527