Solve (21/3)div(3/8)=

$$( 2 \frac { 1 } { 3 } ) \div ( \frac { 3 } { 8 } ) =$$

Evaluate

$$\frac{56}{9}\approx 6.222222222$$

Solution Steps

Divide \frac{2\times 3+1}{3} by \frac{3}{8} by multiplying \frac{2\times 3+1}{3} by the reciprocal of \frac{3}{8}.

$$\frac{\left(2\times 3+1\right)\times 8}{3\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{\left(6+1\right)\times 8}{3\times 3}$$

Add 6 and 1 to get 7.

$$\frac{7\times 8}{3\times 3}$$

Multiply 7 and 8 to get 56.

$$\frac{56}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{56}{9}$$

Factor

$$\frac{2 ^ {3} \cdot 7}{3 ^ {2}} = 6\frac{2}{9} = 6.222222222222222$$