What is (-2/3 (1/4))/((5/6)(-3/4)) ?

The solution to (-2/3 (1/4))/((5/6)(-3/4)) is 4/15

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simplify (-2/3 (1/4))/((5/6)(-3/4))

simplify

\frac{- \frac{2}{3} ( \frac{1}{4} )}{( \frac{5}{6} ) ( - \frac{3}{4} )}

\frac{4}{15}

Decimal Notation

0.26666 \dots

Solution steps

\frac{- \frac{2}{3} ( \frac{1}{4} )}{( \frac{5}{6} ) ( - \frac{3}{4} )}

\frac{- \frac{2}{3} ( \frac{1}{4} )}{( \frac{5}{6} ) ( - \frac{3}{4} )} = \frac{- \frac{2}{3} \cdot \frac{1}{4}}{\frac{5}{6} ( - \frac{3}{4} )}

= \frac{- \frac{2}{3} \cdot \frac{1}{4}}{\frac{5}{6} ( - \frac{3}{4} )}

Apply the fraction rule:

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

= - \frac{\frac{2}{3} \cdot \frac{1}{4}}{\frac{5}{6} ( - \frac{3}{4} )}

Apply rule:

a (- b) = - ab

\frac{5}{6} (- \frac{3}{4}) = - \frac{5}{6} \cdot \frac{3}{4}

= - \frac{\frac{2}{3} \cdot \frac{1}{4}}{- \frac{5}{6} \cdot \frac{3}{4}}

\frac{2}{3} \cdot \frac{1}{4} = \frac{1}{6}

= - \frac{\frac{1}{6}}{- \frac{5}{6} \cdot \frac{3}{4}}

- \frac{5}{6} \cdot \frac{3}{4} = - \frac{5}{8}

= - \frac{\frac{1}{6}}{- \frac{5}{8}}

Apply the fraction rule:

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

\frac{\frac{1}{6}}{- \frac{5}{8}} = - \frac{\frac{1}{6}}{\frac{5}{8}}

= - (- \frac{\frac{1}{6}}{\frac{5}{8}})

Apply rule:

- (- a) = a

- (- \frac{\frac{1}{6}}{\frac{5}{8}}) = \frac{\frac{1}{6}}{\frac{5}{8}}

= \frac{\frac{1}{6}}{\frac{5}{8}}

Apply the fraction rule:

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

= \frac{1 \cdot 8}{6 \cdot 5}

Cancel

\frac{1 \cdot 8}{6 \cdot 5} : \frac{4}{15}

= \frac{4}{15}

sin (x) + sin (x)

\frac{3}{8}

9 \frac{1}{2}

(y + 5)^{2}

\frac{x}{x ^{2} + 1}

What is (-2/3 (1/4))/((5/6)(-3/4)) ?
The solution to (-2/3 (1/4))/((5/6)(-3/4)) is 4/15