Solve 24/7div2/3

$$2 \frac { 4 } { 7 } \div \frac { 2 } { 3 }$$

Evaluate

$$\frac{27}{7}\approx 3.857142857$$

Solution Steps

Divide \frac{2\times 7+4}{7} by \frac{2}{3} by multiplying \frac{2\times 7+4}{7} by the reciprocal of \frac{2}{3}.

$$\frac{\left(2\times 7+4\right)\times 3}{7\times 2}$$

Multiply 2 and 7 to get 14.

$$\frac{\left(14+4\right)\times 3}{7\times 2}$$

Add 14 and 4 to get 18.

$$\frac{18\times 3}{7\times 2}$$

Multiply 18 and 3 to get 54.

$$\frac{54}{7\times 2}$$

Multiply 7 and 2 to get 14.

$$\frac{54}{14}$$

Reduce the fraction \frac{54}{14} to lowest terms by extracting and canceling out 2.

$$\frac{27}{7}$$

Factor

$$\frac{3 ^ {3}}{7} = 3\frac{6}{7} = 3.857142857142857$$