Solve 2/3+4/5-1/3=

$$\frac { 2 } { 3 } + \frac { 4 } { 5 } - \frac { 1 } { 3 } =$$

Evaluate

$$\frac{17}{15}\approx 1.133333333$$

Solution Steps

Least common multiple of 3 and 5 is 15. Convert \frac{2}{3} and \frac{4}{5} to fractions with denominator 15.

$$\frac{10}{15}+\frac{12}{15}-\frac{1}{3}$$

Since \frac{10}{15} and \frac{12}{15} have the same denominator, add them by adding their numerators.

$$\frac{10+12}{15}-\frac{1}{3}$$

Add 10 and 12 to get 22.

$$\frac{22}{15}-\frac{1}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{22}{15} and \frac{1}{3} to fractions with denominator 15.

$$\frac{22}{15}-\frac{5}{15}$$

Since \frac{22}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-5}{15}$$

Subtract 5 from 22 to get 17.

$$\frac{17}{15}$$

Factor

$$\frac{17}{3 \cdot 5} = 1\frac{2}{15} = 1.1333333333333333$$