Solve -111/5-(-71/2)

$$- 11 \frac { 1 } { 5 } - ( - 7 \frac { 1 } { 2 } )$$

Evaluate

$$-\frac{37}{10}=-3.7$$

Solution Steps

Multiply 11 and 5 to get 55.

$$-\frac{55+1}{5}-\left(-\frac{7\times 2+1}{2}\right)$$

Add 55 and 1 to get 56.

$$-\frac{56}{5}-\left(-\frac{7\times 2+1}{2}\right)$$

Multiply 7 and 2 to get 14.

$$-\frac{56}{5}-\left(-\frac{14+1}{2}\right)$$

Add 14 and 1 to get 15.

$$-\frac{56}{5}-\left(-\frac{15}{2}\right)$$

The opposite of -\frac{15}{2} is \frac{15}{2}.

$$-\frac{56}{5}+\frac{15}{2}$$

Least common multiple of 5 and 2 is 10. Convert -\frac{56}{5} and \frac{15}{2} to fractions with denominator 10.

$$-\frac{112}{10}+\frac{75}{10}$$

Since -\frac{112}{10} and \frac{75}{10} have the same denominator, add them by adding their numerators.

$$\frac{-112+75}{10}$$

Add -112 and 75 to get -37.

$$-\frac{37}{10}$$

Factor

$$-\frac{37}{10} = -3\frac{7}{10} = -3.7$$