Solve 50+(50+35/20)*10

$$50+( \frac{ 50+35 }{ 20 } ) \times 10$$

Evaluate

$$\frac{185}{2}=92.5$$

Solution Steps

Add 50 and 35 to get 85.

$$50+\frac{85}{20}\times 10$$

Reduce the fraction \frac{85}{20} to lowest terms by extracting and canceling out 5.

$$50+\frac{17}{4}\times 10$$

Express \frac{17}{4}\times 10 as a single fraction.

$$50+\frac{17\times 10}{4}$$

Multiply 17 and 10 to get 170.

$$50+\frac{170}{4}$$

Reduce the fraction \frac{170}{4} to lowest terms by extracting and canceling out 2.

$$50+\frac{85}{2}$$

Convert 50 to fraction \frac{100}{2}.

$$\frac{100}{2}+\frac{85}{2}$$

Since \frac{100}{2} and \frac{85}{2} have the same denominator, add them by adding their numerators.

$$\frac{100+85}{2}$$

Add 100 and 85 to get 185.

$$\frac{185}{2}$$

Factor

$$\frac{5 \cdot 37}{2} = 92\frac{1}{2} = 92.5$$