Solve 2/3div5/6text{of}3/10

$$\frac { 2 } { 3 } \div \frac { 5 } { 6 } \text { of } \frac { 3 } { 10 }$$

Evaluate

$$\frac{6}{25}=0.24$$

Solution Steps

Divide \frac{2}{3} by \frac{5}{6} by multiplying \frac{2}{3} by the reciprocal of \frac{5}{6}.

$$\frac{2}{3}\times \frac{6}{5}\times \frac{3}{10}$$

Multiply \frac{2}{3} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 6}{3\times 5}\times \frac{3}{10}$$

Do the multiplications in the fraction \frac{2\times 6}{3\times 5}.

$$\frac{12}{15}\times \frac{3}{10}$$

Reduce the fraction \frac{12}{15} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}\times \frac{3}{10}$$

Multiply \frac{4}{5} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 3}{5\times 10}$$

Do the multiplications in the fraction \frac{4\times 3}{5\times 10}.

$$\frac{12}{50}$$

Reduce the fraction \frac{12}{50} to lowest terms by extracting and canceling out 2.

$$\frac{6}{25}$$

Factor

$$\frac{2 \cdot 3}{5 ^ {2}} = 0.24$$