Solve 1632/120-90/120

$$\frac{ 1632 }{ 120 } - \frac{ 90 }{ 120 }$$

Evaluate

$$\frac{257}{20}=12.85$$

Solution Steps

Reduce the fraction \frac{1632}{120} to lowest terms by extracting and canceling out 24.

$$\frac{68}{5}-\frac{90}{120}$$

Reduce the fraction \frac{90}{120} to lowest terms by extracting and canceling out 30.

$$\frac{68}{5}-\frac{3}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{68}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{272}{20}-\frac{15}{20}$$

Since \frac{272}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{272-15}{20}$$

Subtract 15 from 272 to get 257.

$$\frac{257}{20}$$

Factor

$$\frac{257}{2 ^ {2} \cdot 5} = 12\frac{17}{20} = 12.85$$