Solve 21/3div2/5

$$2 \frac { 1 } { 3 } \div \frac { 2 } { 5 }$$

Evaluate

$$\frac{35}{6}\approx 5.833333333$$

Solution Steps

Divide \frac{2\times 3+1}{3} by \frac{2}{5} by multiplying \frac{2\times 3+1}{3} by the reciprocal of \frac{2}{5}.

$$\frac{\left(2\times 3+1\right)\times 5}{3\times 2}$$

Multiply 2 and 3 to get 6.

$$\frac{\left(6+1\right)\times 5}{3\times 2}$$

Add 6 and 1 to get 7.

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

Multiply 7 and 5 to get 35.

$$\frac{35}{3\times 2}$$

Multiply 3 and 2 to get 6.

$$\frac{35}{6}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$$