Solve 30+15-10/2*15-10-12*10

$$30 + \frac { 15 - 10 } { 2 \times 15 - 10 - 12 } \times 10$$

Evaluate

$$\frac{145}{4}=36.25$$

Solution Steps

Subtract 10 from 15 to get 5.

$$30+\frac{5}{2\times 15-10-12}\times 10$$

Multiply 2 and 15 to get 30.

$$30+\frac{5}{30-10-12}\times 10$$

Subtract 10 from 30 to get 20.

$$30+\frac{5}{20-12}\times 10$$

Subtract 12 from 20 to get 8.

$$30+\frac{5}{8}\times 10$$

Express \frac{5}{8}\times 10 as a single fraction.

$$30+\frac{5\times 10}{8}$$

Multiply 5 and 10 to get 50.

$$30+\frac{50}{8}$$

Reduce the fraction \frac{50}{8} to lowest terms by extracting and canceling out 2.

$$30+\frac{25}{4}$$

Convert 30 to fraction \frac{120}{4}.

$$\frac{120}{4}+\frac{25}{4}$$

Since \frac{120}{4} and \frac{25}{4} have the same denominator, add them by adding their numerators.

$$\frac{120+25}{4}$$

Add 120 and 25 to get 145.

$$\frac{145}{4}$$

Factor

$$\frac{5 \cdot 29}{2 ^ {2}} = 36\frac{1}{4} = 36.25$$