Solve frac{85/25frac{2{3}}}{5}

$$\frac{ \frac{ 85 }{ 25 \frac { 2 } { 3 } } }{ 5 }$$

Evaluate

$$\frac{51}{77}\approx 0.662337662$$

Solution Steps

Express \frac{\frac{85}{\frac{25\times 3+2}{3}}}{5} as a single fraction.

$$\frac{85}{\frac{25\times 3+2}{3}\times 5}$$

Multiply 25 and 3 to get 75.

$$\frac{85}{\frac{75+2}{3}\times 5}$$

Add 75 and 2 to get 77.

$$\frac{85}{\frac{77}{3}\times 5}$$

Express \frac{77}{3}\times 5 as a single fraction.

$$\frac{85}{\frac{77\times 5}{3}}$$

Multiply 77 and 5 to get 385.

$$\frac{85}{\frac{385}{3}}$$

Divide 85 by \frac{385}{3} by multiplying 85 by the reciprocal of \frac{385}{3}.

$$85\times \frac{3}{385}$$

Express 85\times \frac{3}{385} as a single fraction.

$$\frac{85\times 3}{385}$$

Multiply 85 and 3 to get 255.

$$\frac{255}{385}$$

Reduce the fraction \frac{255}{385} to lowest terms by extracting and canceling out 5.

$$\frac{51}{77}$$

Factor

$$\frac{3 \cdot 17}{7 \cdot 11} = 0.6623376623376623$$