Solve {l}{(+15/17)+(-2.5)+(-5)+(+2.5)+2/17}{-51)+(+12)+(-7)+(-11)+(+36)}

$$\left. \begin{array} { l } { ( + \frac { 15 } { 17 } ) + ( - 2.5 ) + ( - 5 ) + ( + 2.5 ) + \frac { 2 } { 17 } } \\ { - 51 ) + ( + 12 ) + ( - 7 ) + ( - 11 ) + ( + 36 ) } \end{array} \right.$$

Evaluate

$$-55$$

Solution Steps

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{15}{17}-\frac{5}{2}-5+2.5+\frac{2}{17}-51$$

Least common multiple of 17 and 2 is 34. Convert \frac{15}{17} and \frac{5}{2} to fractions with denominator 34.

$$\frac{30}{34}-\frac{85}{34}-5+2.5+\frac{2}{17}-51$$

Since \frac{30}{34} and \frac{85}{34} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-85}{34}-5+2.5+\frac{2}{17}-51$$

Subtract 85 from 30 to get -55.

$$-\frac{55}{34}-5+2.5+\frac{2}{17}-51$$

Convert 5 to fraction \frac{170}{34}.

$$-\frac{55}{34}-\frac{170}{34}+2.5+\frac{2}{17}-51$$

Since -\frac{55}{34} and \frac{170}{34} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-55-170}{34}+2.5+\frac{2}{17}-51$$

Subtract 170 from -55 to get -225.

$$-\frac{225}{34}+2.5+\frac{2}{17}-51$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{225}{34}+\frac{5}{2}+\frac{2}{17}-51$$

Least common multiple of 34 and 2 is 34. Convert -\frac{225}{34} and \frac{5}{2} to fractions with denominator 34.

$$-\frac{225}{34}+\frac{85}{34}+\frac{2}{17}-51$$

Since -\frac{225}{34} and \frac{85}{34} have the same denominator, add them by adding their numerators.

$$\frac{-225+85}{34}+\frac{2}{17}-51$$

Add -225 and 85 to get -140.

$$\frac{-140}{34}+\frac{2}{17}-51$$

Reduce the fraction \frac{-140}{34} to lowest terms by extracting and canceling out 2.

$$-\frac{70}{17}+\frac{2}{17}-51$$

Since -\frac{70}{17} and \frac{2}{17} have the same denominator, add them by adding their numerators.

$$\frac{-70+2}{17}-51$$

Add -70 and 2 to get -68.

$$\frac{-68}{17}-51$$

Divide -68 by 17 to get -4.

$$-4-51$$

Subtract 51 from -4 to get -55.

$$-55$$

Factor

$$-55$$