Solve 4-2/3-3/5=

$$4 - \frac { 2 } { 3 } - \frac { 3 } { 5 } =$$

Evaluate

$$\frac{41}{15}\approx 2.733333333$$

Solution Steps

Convert 4 to fraction \frac{12}{3}.

$$\frac{12}{3}-\frac{2}{3}-\frac{3}{5}$$

Since \frac{12}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-2}{3}-\frac{3}{5}$$

Subtract 2 from 12 to get 10.

$$\frac{10}{3}-\frac{3}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{10}{3} and \frac{3}{5} to fractions with denominator 15.

$$\frac{50}{15}-\frac{9}{15}$$

Since \frac{50}{15} and \frac{9}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{50-9}{15}$$

Subtract 9 from 50 to get 41.

$$\frac{41}{15}$$

Factor

$$\frac{41}{3 \cdot 5} = 2\frac{11}{15} = 2.7333333333333334$$