Solve (9/10-1/15)*30

$$( \frac{ 9 }{ 10 } - \frac{ 1 }{ 15 } ) \times 30$$

Evaluate

$$25$$

Solution Steps

Least common multiple of 10 and 15 is 30. Convert \frac{9}{10} and \frac{1}{15} to fractions with denominator 30.

$$\left(\frac{27}{30}-\frac{2}{30}\right)\times 30$$

Since \frac{27}{30} and \frac{2}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{27-2}{30}\times 30$$

Subtract 2 from 27 to get 25.

$$\frac{25}{30}\times 30$$

Reduce the fraction \frac{25}{30} to lowest terms by extracting and canceling out 5.

$$\frac{5}{6}\times 30$$

Express \frac{5}{6}\times 30 as a single fraction.

$$\frac{5\times 30}{6}$$

Multiply 5 and 30 to get 150.

$$\frac{150}{6}$$

Divide 150 by 6 to get 25.

$$25$$

Factor

$$5^{2}$$