Solve 240(8/15-3/10)

$$240( \frac{ 8 }{ 15 } - \frac{ 3 }{ 10 } )$$

Evaluate

$$56$$

Solution Steps

Least common multiple of 15 and 10 is 30. Convert \frac{8}{15} and \frac{3}{10} to fractions with denominator 30.

$$240\left(\frac{16}{30}-\frac{9}{30}\right)$$

Since \frac{16}{30} and \frac{9}{30} have the same denominator, subtract them by subtracting their numerators.

$$240\times \frac{16-9}{30}$$

Subtract 9 from 16 to get 7.

$$240\times \frac{7}{30}$$

Express 240\times \frac{7}{30} as a single fraction.

$$\frac{240\times 7}{30}$$

Multiply 240 and 7 to get 1680.

$$\frac{1680}{30}$$

Divide 1680 by 30 to get 56.

$$56$$

Factor

$$2^{3}\times 7$$