Solve -5/10+6/13+8

$$\frac { - 5 } { 10 } + \frac { 6 } { 13 } + 8$$

Evaluate

$$\frac{207}{26}\approx 7.961538462$$

Solution Steps

Reduce the fraction \frac{-5}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{1}{2}+\frac{6}{13}+8$$

Least common multiple of 2 and 13 is 26. Convert -\frac{1}{2} and \frac{6}{13} to fractions with denominator 26.

$$-\frac{13}{26}+\frac{12}{26}+8$$

Since -\frac{13}{26} and \frac{12}{26} have the same denominator, add them by adding their numerators.

$$\frac{-13+12}{26}+8$$

Add -13 and 12 to get -1.

$$-\frac{1}{26}+8$$

Convert 8 to fraction \frac{208}{26}.

$$-\frac{1}{26}+\frac{208}{26}$$

Since -\frac{1}{26} and \frac{208}{26} have the same denominator, add them by adding their numerators.

$$\frac{-1+208}{26}$$

Add -1 and 208 to get 207.

$$\frac{207}{26}$$

Factor

$$\frac{3 ^ {2} \cdot 23}{2 \cdot 13} = 7\frac{25}{26} = 7.961538461538462$$