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

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

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

simplify

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

- \frac{240}{161}

Decimal Notation

- 1.49068 \dots

Solution steps

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

Apply rule:

(a) = a

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

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

2 \cdot \frac{15}{8} = \frac{15}{4}

= \frac{\frac{15}{4}}{1 - ( \frac{15}{8} ) ^{2}}

Simplify

1 - (\frac{15}{8})^{2} : - \frac{161}{64}

= \frac{\frac{15}{4}}{- \frac{161}{64}}

Apply the fraction rule:

\frac{a}{- b} = - \frac{a}{b}

= - \frac{\frac{15}{4}}{\frac{161}{64}}

Apply the fraction rule:

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

\frac{\frac{15}{4}}{\frac{161}{64}} = \frac{15 \cdot 64}{4 \cdot 161}

= - \frac{15 \cdot 64}{4 \cdot 161}

Cancel

- \frac{15 \cdot 64}{4 \cdot 161} : - \frac{240}{161}

= - \frac{240}{161}

\frac{1}{6} < \frac{2 x - 17}{12} \leq \frac{2}{3}

e^{l n (3)}

- n + (- 3) + 3 n + 5

x + 3^{x} < 4

\frac{1}{5} x^{2} - 5 = 0

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