Solve 5/7div26/3

$$\frac { 5 } { 7 } \div 2 \frac { 6 } { 3 }$$

Evaluate

$$\frac{5}{28}\approx 0.178571429$$

Solution Steps

Divide \frac{5}{7} by \frac{2\times 3+6}{3} by multiplying \frac{5}{7} by the reciprocal of \frac{2\times 3+6}{3}.

$$\frac{5\times 3}{7\left(2\times 3+6\right)}$$

Multiply 5 and 3 to get 15.

$$\frac{15}{7\left(2\times 3+6\right)}$$

Multiply 2 and 3 to get 6.

$$\frac{15}{7\left(6+6\right)}$$

Add 6 and 6 to get 12.

$$\frac{15}{7\times 12}$$

Multiply 7 and 12 to get 84.

$$\frac{15}{84}$$

Reduce the fraction \frac{15}{84} to lowest terms by extracting and canceling out 3.

$$\frac{5}{28}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 7} = 0.17857142857142858$$