What is a/(\frac{b){c/d}} ?

The solution to a/(\frac{b){c/d}} is (ac)/(db)

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simplify a/(\frac{b){c/d}}

simplify

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

\frac{a c}{d b}

Solution steps

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

Apply the fraction rule:

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

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

Simplify

a \frac{c}{d} : \frac{a c}{d}

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

Apply the fraction rule:

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

= \frac{a c}{d b}

(64 y^{100})^{\frac{1}{2}}

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3 x^{2} - 100 = 500

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\frac{3 x}{2} + x - 2 = \frac{1}{4} + 2 x