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Popular >

simplify 5/((2(1/3)+1)^2)

Solution

simplify

\frac{5}{( 2 ( \frac{1}{3} ) + 1 ) ^{2}}

Solution

\frac{9}{5}

+1

Decimal Notation

1.8

Solution steps

\frac{5}{( 2 ( \frac{1}{3} ) + 1 ) ^{2}}

Apply rule:

(a) = a

(\frac{1}{3}) = \frac{1}{3}

= \frac{5}{( 2 \cdot \frac{1}{3} + 1 ) ^{2}}

(2 \cdot \frac{1}{3} + 1)^{2} = \frac{25}{9}

= \frac{5}{\frac{25}{9}}

Apply the fraction rule:

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

= \frac{5 \cdot 9}{25}

Cancel

\frac{5 \cdot 9}{25} : \frac{9}{5}

= \frac{9}{5}

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Frequently Asked Questions (FAQ)

What is 5/((2(1/3)+1)^2) ?
The solution to 5/((2(1/3)+1)^2) is 9/5