Solve 8/17*25-24div17/8

$$\frac{ 8 }{ 17 } \times 25-24 \div \frac{ 17 }{ 8 }$$

Evaluate

$$\frac{8}{17}\approx 0.470588235$$

Solution Steps

Express \frac{8}{17}\times 25 as a single fraction.

$$\frac{8\times 25}{17}-\frac{24}{\frac{17}{8}}$$

Multiply 8 and 25 to get 200.

$$\frac{200}{17}-\frac{24}{\frac{17}{8}}$$

Divide 24 by \frac{17}{8} by multiplying 24 by the reciprocal of \frac{17}{8}.

$$\frac{200}{17}-24\times \frac{8}{17}$$

Express 24\times \frac{8}{17} as a single fraction.

$$\frac{200}{17}-\frac{24\times 8}{17}$$

Multiply 24 and 8 to get 192.

$$\frac{200}{17}-\frac{192}{17}$$

Since \frac{200}{17} and \frac{192}{17} have the same denominator, subtract them by subtracting their numerators.

$$\frac{200-192}{17}$$

Subtract 192 from 200 to get 8.

$$\frac{8}{17}$$

Factor

$$\frac{2 ^ {3}}{17} = 0.47058823529411764$$