Solve 30+100div(10+(60-4*11-10))

$$30+100 \div (10+(60-4 \times 11-10))$$

Evaluate

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

Solution Steps

Multiply 4 and 11 to get 44.

$$30+\frac{100}{10+60-44-10}$$

Subtract 44 from 60 to get 16.

$$30+\frac{100}{10+16-10}$$

Add 10 and 16 to get 26.

$$30+\frac{100}{26-10}$$

Subtract 10 from 26 to get 16.

$$30+\frac{100}{16}$$

Reduce the fraction \frac{100}{16} to lowest terms by extracting and canceling out 4.

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

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

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