Solve 1/6\times(2/5)\div(1/3) | Equatix

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Question

$$1/6 \times (2/5) \div (1/3)$$

$\frac{1}{5}=0.2$

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

$$\frac{\frac{1\times 2}{6\times 5}}{\frac{1}{3}}$$

Do the multiplications in the fraction $\frac{1\times 2}{6\times 5}$.

$$\frac{\frac{2}{30}}{\frac{1}{3}}$$

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

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

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

$$\frac{1}{15}\times 3$$

Multiply $\frac{1}{15}$ and $3$ to get $\frac{3}{15}$.

$$\frac{3}{15}$$

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

$$\frac{1}{5}$$

$\frac{1}{5} = 0.2$