Solve 212/3div5/8*8=

$$21 \frac { 2 } { 3 } \div \frac{ 5 }{ 8 } \times 8=$$

Evaluate

$$\frac{832}{3}\approx 277.333333333$$

Solution Steps

Divide \frac{21\times 3+2}{3} by \frac{5}{8} by multiplying \frac{21\times 3+2}{3} by the reciprocal of \frac{5}{8}.

$$\frac{\left(21\times 3+2\right)\times 8}{3\times 5}\times 8$$

Multiply 21 and 3 to get 63.

$$\frac{\left(63+2\right)\times 8}{3\times 5}\times 8$$

Add 63 and 2 to get 65.

$$\frac{65\times 8}{3\times 5}\times 8$$

Multiply 65 and 8 to get 520.

$$\frac{520}{3\times 5}\times 8$$

Multiply 3 and 5 to get 15.

$$\frac{520}{15}\times 8$$

Reduce the fraction \frac{520}{15} to lowest terms by extracting and canceling out 5.

$$\frac{104}{3}\times 8$$

Express \frac{104}{3}\times 8 as a single fraction.

$$\frac{104\times 8}{3}$$

Multiply 104 and 8 to get 832.

$$\frac{832}{3}$$

Factor

$$\frac{2 ^ {6} \cdot 13}{3} = 277\frac{1}{3} = 277.3333333333333$$