Solve 21/3div5/7

$$2 \frac { 1 } { 3 } \div \frac { 5 } { 7 }$$

Evaluate

$$\frac{49}{15}\approx 3.266666667$$

Solution Steps

Divide \frac{2\times 3+1}{3} by \frac{5}{7} by multiplying \frac{2\times 3+1}{3} by the reciprocal of \frac{5}{7}.

$$\frac{\left(2\times 3+1\right)\times 7}{3\times 5}$$

Multiply 2 and 3 to get 6.

$$\frac{\left(6+1\right)\times 7}{3\times 5}$$

Add 6 and 1 to get 7.

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

Multiply 7 and 7 to get 49.

$$\frac{49}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{49}{15}$$

Factor

$$\frac{7 ^ {2}}{3 \cdot 5} = 3\frac{4}{15} = 3.2666666666666666$$