Solve 5/12-(7/12-3/4)

$$\frac { 5 } { 12 } - ( \frac { 7 } { 12 } - \frac { 3 } { 4 } )$$

Evaluate

$$\frac{7}{12}\approx 0.583333333$$

Solution Steps

Least common multiple of 12 and 4 is 12. Convert \frac{7}{12} and \frac{3}{4} to fractions with denominator 12.

$$\frac{5}{12}-\left(\frac{7}{12}-\frac{9}{12}\right)$$

Since \frac{7}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{12}-\frac{7-9}{12}$$

Subtract 9 from 7 to get -2.

$$\frac{5}{12}-\frac{-2}{12}$$

Reduce the fraction \frac{-2}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{12}-\left(-\frac{1}{6}\right)$$

The opposite of -\frac{1}{6} is \frac{1}{6}.

$$\frac{5}{12}+\frac{1}{6}$$

Least common multiple of 12 and 6 is 12. Convert \frac{5}{12} and \frac{1}{6} to fractions with denominator 12.

$$\frac{5}{12}+\frac{2}{12}$$

Since \frac{5}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{12}$$

Add 5 and 2 to get 7.

$$\frac{7}{12}$$

Factor

$$\frac{7}{2 ^ {2} \cdot 3} = 0.5833333333333334$$