Solve left(10/10+30/20right)*15

$$\left( \frac{ 10 }{ 10 } + \frac{ 30 }{ 20 } \right) \times 15$$

Evaluate

$$\frac{75}{2}=37.5$$

Solution Steps

Divide 10 by 10 to get 1.

$$\left(1+\frac{30}{20}\right)\times 15$$

Reduce the fraction \frac{30}{20} to lowest terms by extracting and canceling out 10.

$$\left(1+\frac{3}{2}\right)\times 15$$

Convert 1 to fraction \frac{2}{2}.

$$\left(\frac{2}{2}+\frac{3}{2}\right)\times 15$$

Since \frac{2}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{2}\times 15$$

Add 2 and 3 to get 5.

$$\frac{5}{2}\times 15$$

Express \frac{5}{2}\times 15 as a single fraction.

$$\frac{5\times 15}{2}$$

Multiply 5 and 15 to get 75.

$$\frac{75}{2}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2} = 37\frac{1}{2} = 37.5$$