Solve 1/3div5/6quad2/5=

$$\frac { 1 } { 3 } \div \frac { 5 } { 6 } \quad \frac { 2 } { 5 } =$$

Evaluate

$$\frac{4}{25}=0.16$$

Solution Steps

Divide \frac{1}{3} by \frac{5}{6} by multiplying \frac{1}{3} by the reciprocal of \frac{5}{6}.

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

Multiply \frac{1}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 6}{3\times 5}.

$$\frac{6}{15}\times \frac{2}{5}$$

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

$$\frac{2}{5}\times \frac{2}{5}$$

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

$$\frac{2\times 2}{5\times 5}$$

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

$$\frac{4}{25}$$

Factor

$$\frac{2 ^ {2}}{5 ^ {2}} = 0.16$$