Solve 7/15+3/15-1/10=

$$\frac { 7 } { 15 } + \frac { 3 } { 15 } - \frac { 1 } { 10 } =$$

Evaluate

$$\frac{17}{30}\approx 0.566666667$$

Solution Steps

Since \frac{7}{15} and \frac{3}{15} have the same denominator, add them by adding their numerators.

$$\frac{7+3}{15}-\frac{1}{10}$$

Add 7 and 3 to get 10.

$$\frac{10}{15}-\frac{1}{10}$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

$$\frac{2}{3}-\frac{1}{10}$$

Least common multiple of 3 and 10 is 30. Convert \frac{2}{3} and \frac{1}{10} to fractions with denominator 30.

$$\frac{20}{30}-\frac{3}{30}$$

Since \frac{20}{30} and \frac{3}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-3}{30}$$

Subtract 3 from 20 to get 17.

$$\frac{17}{30}$$

Factor

$$\frac{17}{2 \cdot 3 \cdot 5} = 0.5666666666666667$$