Solve (1)/(6)\times(-(2)/(5))\div(-(7)/(3))

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Question

$$\frac{ 1 }{ 6 } \times (- \frac{ 2 }{ 5 } ) \div (- \frac{ 7 }{ 3 } )$$

$\frac{1}{35}\approx 0.028571429$

Multiply $\frac{1}{6}$ times $-\frac{2}{5}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\left(-2\right)}{6\times 5}}{-\frac{7}{3}}$$

Do the multiplications in the fraction $\frac{1\left(-2\right)}{6\times 5}$.

$$\frac{\frac{-2}{30}}{-\frac{7}{3}}$$

Reduce the fraction $\frac{-2}{30}$ to lowest terms by extracting and canceling out $2$.

$$\frac{-\frac{1}{15}}{-\frac{7}{3}}$$

Divide $-\frac{1}{15}$ by $-\frac{7}{3}$ by multiplying $-\frac{1}{15}$ by the reciprocal of $-\frac{7}{3}$.

$$-\frac{1}{15}\left(-\frac{3}{7}\right)$$

Multiply $-\frac{1}{15}$ times $-\frac{3}{7}$ by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\left(-3\right)}{15\times 7}$$

Do the multiplications in the fraction $\frac{-\left(-3\right)}{15\times 7}$.

$$\frac{3}{105}$$

Reduce the fraction $\frac{3}{105}$ to lowest terms by extracting and canceling out $3$.

$$\frac{1}{35}$$

$\frac{1}{5 \cdot 7} = 0.02857142857142857$