Solve 4/5-3/10-3/12

$$\frac { 4 } { 5 } - \frac { 3 } { 10 } - \frac { 3 } { 12 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Least common multiple of 5 and 10 is 10. Convert \frac{4}{5} and \frac{3}{10} to fractions with denominator 10.

$$\frac{8}{10}-\frac{3}{10}-\frac{3}{12}$$

Since \frac{8}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{10}-\frac{3}{12}$$

Subtract 3 from 8 to get 5.

$$\frac{5}{10}-\frac{3}{12}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}-\frac{3}{12}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}-\frac{1}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{1}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{2}{4}-\frac{1}{4}$$

Since \frac{2}{4} and \frac{1}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-1}{4}$$

Subtract 1 from 2 to get 1.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$