Solve -32/5-8+136/3+36

$$\frac{ -32 }{ 5 } -8+ \frac{ 136 }{ 3 } +36$$

Evaluate

$$\frac{1004}{15}\approx 66.933333333$$

Solution Steps

Fraction \frac{-32}{5} can be rewritten as -\frac{32}{5} by extracting the negative sign.

$$-\frac{32}{5}-8+\frac{136}{3}+36$$

Convert 8 to fraction \frac{40}{5}.

$$-\frac{32}{5}-\frac{40}{5}+\frac{136}{3}+36$$

Since -\frac{32}{5} and \frac{40}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-32-40}{5}+\frac{136}{3}+36$$

Subtract 40 from -32 to get -72.

$$-\frac{72}{5}+\frac{136}{3}+36$$

Least common multiple of 5 and 3 is 15. Convert -\frac{72}{5} and \frac{136}{3} to fractions with denominator 15.

$$-\frac{216}{15}+\frac{680}{15}+36$$

Since -\frac{216}{15} and \frac{680}{15} have the same denominator, add them by adding their numerators.

$$\frac{-216+680}{15}+36$$

Add -216 and 680 to get 464.

$$\frac{464}{15}+36$$

Convert 36 to fraction \frac{540}{15}.

$$\frac{464}{15}+\frac{540}{15}$$

Since \frac{464}{15} and \frac{540}{15} have the same denominator, add them by adding their numerators.

$$\frac{464+540}{15}$$

Add 464 and 540 to get 1004.

$$\frac{1004}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 251}{3 \cdot 5} = 66\frac{14}{15} = 66.93333333333334$$