Solve 7/8-(1/3-1/4)

$$\frac { 7 } { 8 } - ( \frac { 1 } { 3 } - \frac { 1 } { 4 } )$$

Evaluate

$$\frac{19}{24}\approx 0.791666667$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

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

Since \frac{4}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 3 from 4 to get 1.

$$\frac{7}{8}-\frac{1}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{7}{8} and \frac{1}{12} to fractions with denominator 24.

$$\frac{21}{24}-\frac{2}{24}$$

Since \frac{21}{24} and \frac{2}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-2}{24}$$

Subtract 2 from 21 to get 19.

$$\frac{19}{24}$$

Factor

$$\frac{19}{2 ^ {3} \cdot 3} = 0.7916666666666666$$