Solve 32-64/3+32/5

$$32 - \frac { 64 } { 3 } + \frac { 32 } { 5 }$$

Evaluate

$$\frac{256}{15}\approx 17.066666667$$

Solution Steps

Convert 32 to fraction \frac{96}{3}.

$$\frac{96}{3}-\frac{64}{3}+\frac{32}{5}$$

Since \frac{96}{3} and \frac{64}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{96-64}{3}+\frac{32}{5}$$

Subtract 64 from 96 to get 32.

$$\frac{32}{3}+\frac{32}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{32}{3} and \frac{32}{5} to fractions with denominator 15.

$$\frac{160}{15}+\frac{96}{15}$$

Since \frac{160}{15} and \frac{96}{15} have the same denominator, add them by adding their numerators.

$$\frac{160+96}{15}$$

Add 160 and 96 to get 256.

$$\frac{256}{15}$$

Factor

$$\frac{2 ^ {8}}{3 \cdot 5} = 17\frac{1}{15} = 17.066666666666666$$