Solve 3/4-(-7/12)-7/8

$$\frac { 3 } { 4 } - ( - \frac { 7 } { 12 } ) - \frac { 7 } { 8 }$$

Evaluate

$$\frac{11}{24}\approx 0.458333333$$

Solution Steps

The opposite of -\frac{7}{12} is \frac{7}{12}.

$$\frac{3}{4}+\frac{7}{12}-\frac{7}{8}$$

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

$$\frac{9}{12}+\frac{7}{12}-\frac{7}{8}$$

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

$$\frac{9+7}{12}-\frac{7}{8}$$

Add 9 and 7 to get 16.

$$\frac{16}{12}-\frac{7}{8}$$

Reduce the fraction \frac{16}{12} to lowest terms by extracting and canceling out 4.

$$\frac{4}{3}-\frac{7}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{4}{3} and \frac{7}{8} to fractions with denominator 24.

$$\frac{32}{24}-\frac{21}{24}$$

Since \frac{32}{24} and \frac{21}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-21}{24}$$

Subtract 21 from 32 to get 11.

$$\frac{11}{24}$$

Factor

$$\frac{11}{2 ^ {3} \cdot 3} = 0.4583333333333333$$