Solve 1+-8/13+15

$$1 + \frac { - 8 } { 13 } + 15$$

Evaluate

$$\frac{200}{13}\approx 15.384615385$$

Solution Steps

Fraction \frac{-8}{13} can be rewritten as -\frac{8}{13} by extracting the negative sign.

$$1-\frac{8}{13}+15$$

Convert 1 to fraction \frac{13}{13}.

$$\frac{13}{13}-\frac{8}{13}+15$$

Since \frac{13}{13} and \frac{8}{13} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-8}{13}+15$$

Subtract 8 from 13 to get 5.

$$\frac{5}{13}+15$$

Convert 15 to fraction \frac{195}{13}.

$$\frac{5}{13}+\frac{195}{13}$$

Since \frac{5}{13} and \frac{195}{13} have the same denominator, add them by adding their numerators.

$$\frac{5+195}{13}$$

Add 5 and 195 to get 200.

$$\frac{200}{13}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{13} = 15\frac{5}{13} = 15.384615384615385$$