Solve 0.4-(3/4-5/12)

$$0.4 - ( \frac { 3 } { 4 } - \frac { 5 } { 12 } )$$

Evaluate

$$\frac{1}{15}\approx 0.066666667$$

Solution Steps

Least common multiple of 4 and 12 is 12. Convert \frac{3}{4} and \frac{5}{12} to fractions with denominator 12.

$$0.4-\left(\frac{9}{12}-\frac{5}{12}\right)$$

Since \frac{9}{12} and \frac{5}{12} have the same denominator, subtract them by subtracting their numerators.

$$0.4-\frac{9-5}{12}$$

Subtract 5 from 9 to get 4.

$$0.4-\frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

$$0.4-\frac{1}{3}$$

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{2}{5}-\frac{1}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{2}{5} and \frac{1}{3} to fractions with denominator 15.

$$\frac{6}{15}-\frac{5}{15}$$

Since \frac{6}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-5}{15}$$

Subtract 5 from 6 to get 1.

$$\frac{1}{15}$$

Factor

$$\frac{1}{3 \cdot 5} = 0.06666666666666667$$