What is simplify-((-5)/3)/((\frac{3/4){(7/2-5/3)})} ?

The solution to simplify-((-5)/3)/((\frac{3/4){(7/2-5/3)})} is 110/27

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simplify-((-5)/3)/((\frac{3/4){(7/2-5/3)})}

simplify

- \frac{\frac{- 5}{3}}{( \frac{\frac{3}{4}}{( \frac{7}{2} - \frac{5}{3} )} )}

\frac{110}{27}

Decimal Notation

4.07407 \dots

Solution steps

- \frac{\frac{- 5}{3}}{\frac{\frac{3}{4}}{\frac{7}{2} - \frac{5}{3}}}

Apply the fraction rule:

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

\frac{\frac{- 5}{3}}{\frac{\frac{3}{4}}{\frac{7}{2} - \frac{5}{3}}} = \frac{- 5 ( \frac{7}{2} - \frac{5}{3} )}{3 \cdot \frac{3}{4}}

= - \frac{- 5 ( \frac{7}{2} - \frac{5}{3} )}{3 \cdot \frac{3}{4}}

Apply the fraction rule:

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

= \frac{5 ( \frac{7}{2} - \frac{5}{3} )}{3 \cdot \frac{3}{4}}

Simplify

5 (\frac{7}{2} - \frac{5}{3}) : \frac{55}{6}

= \frac{\frac{55}{6}}{3 \cdot \frac{3}{4}}

3 \cdot \frac{3}{4} = \frac{9}{4}

= \frac{\frac{55}{6}}{\frac{9}{4}}

Apply the fraction rule:

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

= \frac{55 \cdot 4}{6 \cdot 9}

Cancel

\frac{55 \cdot 4}{6 \cdot 9} : \frac{110}{27}

= \frac{110}{27}

\frac{1}{2} (\frac{1}{3})

\frac{7 3}{14}

(- 8 x^{5})^{3}

- 4 x + 12

- 4 x - 4 x

What is simplify-((-5)/3)/((\frac{3/4){(7/2-5/3)})} ?
The solution to simplify-((-5)/3)/((\frac{3/4){(7/2-5/3)})} is 110/27