Solve (17/15-1/12)*20/3

$$( \frac{ 17 }{ 15 } - \frac{ 1 }{ 12 } ) \times \frac{ 20 }{ 3 }$$

Evaluate

$$7$$

Solution Steps

Least common multiple of 15 and 12 is 60. Convert \frac{17}{15} and \frac{1}{12} to fractions with denominator 60.

$$\left(\frac{68}{60}-\frac{5}{60}\right)\times \frac{20}{3}$$

Since \frac{68}{60} and \frac{5}{60} have the same denominator, subtract them by subtracting their numerators.

$$\frac{68-5}{60}\times \frac{20}{3}$$

Subtract 5 from 68 to get 63.

$$\frac{63}{60}\times \frac{20}{3}$$

Reduce the fraction \frac{63}{60} to lowest terms by extracting and canceling out 3.

$$\frac{21}{20}\times \frac{20}{3}$$

Multiply \frac{21}{20} times \frac{20}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21\times 20}{20\times 3}$$

Cancel out 20 in both numerator and denominator.

$$\frac{21}{3}$$

Divide 21 by 3 to get 7.

$$7$$

Factor

$$7$$