Solve 48-16/3-32/5=

$$48 - \frac { 16 } { 3 } - \frac { 32 } { 5 } =$$

Evaluate

$$\frac{544}{15}\approx 36.266666667$$

Solution Steps

Convert 48 to fraction \frac{144}{3}.

$$\frac{144}{3}-\frac{16}{3}-\frac{32}{5}$$

Since \frac{144}{3} and \frac{16}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{144-16}{3}-\frac{32}{5}$$

Subtract 16 from 144 to get 128.

$$\frac{128}{3}-\frac{32}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{128}{3} and \frac{32}{5} to fractions with denominator 15.

$$\frac{640}{15}-\frac{96}{15}$$

Since \frac{640}{15} and \frac{96}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{640-96}{15}$$

Subtract 96 from 640 to get 544.

$$\frac{544}{15}$$

Factor

$$\frac{2 ^ {5} \cdot 17}{3 \cdot 5} = 36\frac{4}{15} = 36.266666666666666$$