Solve 13/15-7/10

$$\frac { 13 } { 15 } - \frac { 7 } { 10 }$$

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Least common multiple of 15 and 10 is 30. Convert \frac{13}{15} and \frac{7}{10} to fractions with denominator 30.

$$\frac{26}{30}-\frac{21}{30}$$

Since \frac{26}{30} and \frac{21}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-21}{30}$$

Subtract 21 from 26 to get 5.

$$\frac{5}{30}$$

Reduce the fraction \frac{5}{30} to lowest terms by extracting and canceling out 5.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$