Solve 13*9+711:4*2+101-40^2

$$13 \times 9 + 711 : 4 \times 2 + 101 - 40 ^ { 2 }$$

Evaluate

$$-\frac{2053}{2}=-1026.5$$

Solution Steps

Multiply 13 and 9 to get 117.

$$117+\frac{711}{4}\times 2+101-40^{2}$$

Express \frac{711}{4}\times 2 as a single fraction.

$$117+\frac{711\times 2}{4}+101-40^{2}$$

Multiply 711 and 2 to get 1422.

$$117+\frac{1422}{4}+101-40^{2}$$

Reduce the fraction \frac{1422}{4} to lowest terms by extracting and canceling out 2.

$$117+\frac{711}{2}+101-40^{2}$$

Convert 117 to fraction \frac{234}{2}.

$$\frac{234}{2}+\frac{711}{2}+101-40^{2}$$

Since \frac{234}{2} and \frac{711}{2} have the same denominator, add them by adding their numerators.

$$\frac{234+711}{2}+101-40^{2}$$

Add 234 and 711 to get 945.

$$\frac{945}{2}+101-40^{2}$$

Convert 101 to fraction \frac{202}{2}.

$$\frac{945}{2}+\frac{202}{2}-40^{2}$$

Since \frac{945}{2} and \frac{202}{2} have the same denominator, add them by adding their numerators.

$$\frac{945+202}{2}-40^{2}$$

Add 945 and 202 to get 1147.

$$\frac{1147}{2}-40^{2}$$

Calculate 40 to the power of 2 and get 1600.

$$\frac{1147}{2}-1600$$

Convert 1600 to fraction \frac{3200}{2}.

$$\frac{1147}{2}-\frac{3200}{2}$$

Since \frac{1147}{2} and \frac{3200}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1147-3200}{2}$$

Subtract 3200 from 1147 to get -2053.

$$-\frac{2053}{2}$$

Factor

$$-\frac{2053}{2} = -1026\frac{1}{2} = -1026.5$$