Solve 25div(10+50div17)

$$25 \div (10+50 \div 17)$$

Evaluate

$$\frac{85}{44}\approx 1.931818182$$

Solution Steps

Convert 10 to fraction \frac{170}{17}.

$$\frac{25}{\frac{170}{17}+\frac{50}{17}}$$

Since \frac{170}{17} and \frac{50}{17} have the same denominator, add them by adding their numerators.

$$\frac{25}{\frac{170+50}{17}}$$

Add 170 and 50 to get 220.

$$\frac{25}{\frac{220}{17}}$$

Divide 25 by \frac{220}{17} by multiplying 25 by the reciprocal of \frac{220}{17}.

$$25\times \frac{17}{220}$$

Express 25\times \frac{17}{220} as a single fraction.

$$\frac{25\times 17}{220}$$

Multiply 25 and 17 to get 425.

$$\frac{425}{220}$$

Reduce the fraction \frac{425}{220} to lowest terms by extracting and canceling out 5.

$$\frac{85}{44}$$

Factor

$$\frac{5 \cdot 17}{2 ^ {2} \cdot 11} = 1\frac{41}{44} = 1.9318181818181819$$