Solve (111/2)^2-113+1/5:12

$$( 11 \frac { 1 } { 2 } ) ^ { 2 } - 113 + 1 / 5 : 12$$

Evaluate

$$\frac{289}{15}\approx 19.266666667$$

Solution Steps

Multiply 11 and 2 to get 22.

$$\left(\frac{22+1}{2}\right)^{2}-113+\frac{\frac{1}{5}}{12}$$

Add 22 and 1 to get 23.

$$\left(\frac{23}{2}\right)^{2}-113+\frac{\frac{1}{5}}{12}$$

Calculate \frac{23}{2} to the power of 2 and get \frac{529}{4}.

$$\frac{529}{4}-113+\frac{\frac{1}{5}}{12}$$

Subtract 113 from \frac{529}{4} to get \frac{77}{4}.

$$\frac{77}{4}+\frac{\frac{1}{5}}{12}$$

Express \frac{\frac{1}{5}}{12} as a single fraction.

$$\frac{77}{4}+\frac{1}{5\times 12}$$

Multiply 5 and 12 to get 60.

$$\frac{77}{4}+\frac{1}{60}$$

Add \frac{77}{4} and \frac{1}{60} to get \frac{289}{15}.

$$\frac{289}{15}$$

Factor

$$\frac{17 ^ {2}}{3 \cdot 5} = 19\frac{4}{15} = 19.266666666666666$$