Solve 2/7div3/7*3/5

$$\frac { 2 } { 7 } \div \frac { 3 } { 7 } \times \frac { 3 } { 5 }$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Divide \frac{2}{7} by \frac{3}{7} by multiplying \frac{2}{7} by the reciprocal of \frac{3}{7}.

$$\frac{2}{7}\times \frac{7}{3}\times \frac{3}{5}$$

Multiply \frac{2}{7} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 7}{7\times 3}\times \frac{3}{5}$$

Cancel out 7 in both numerator and denominator.

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

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

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

Cancel out 3 in both numerator and denominator.

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

Factor

$$\frac{2}{5} = 0.4$$