Solve (-(6)/(15))\div((4)/(35)) | Equatix

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Question

$$(- \frac{ 6 }{ 15 } ) \div ( \frac{ 4 }{ 35 } )$$

$-\frac{7}{2}=-3.5$

Reduce the fraction $\frac{6}{15}$ to lowest terms by extracting and canceling out $3$.

$$\frac{-\frac{2}{5}}{\frac{4}{35}}$$

Divide $-\frac{2}{5}$ by $\frac{4}{35}$ by multiplying $-\frac{2}{5}$ by the reciprocal of $\frac{4}{35}$.

$$-\frac{2}{5}\times \frac{35}{4}$$

Multiply $-\frac{2}{5}$ times $\frac{35}{4}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{-2\times 35}{5\times 4}$$

Do the multiplications in the fraction $\frac{-2\times 35}{5\times 4}$.

$$\frac{-70}{20}$$

Reduce the fraction $\frac{-70}{20}$ to lowest terms by extracting and canceling out $10$.

$$-\frac{7}{2}$$

$-\frac{7}{2} = -3\frac{1}{2} = -3.5$