Solve 8/7-(1/2+1/4)

$$\frac { 8 } { 7 } - ( \frac { 1 } { 2 } + \frac { 1 } { 4 } )$$

Evaluate

$$\frac{11}{28}\approx 0.392857143$$

Solution Steps

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

$$\frac{8}{7}-\left(\frac{2}{4}+\frac{1}{4}\right)$$

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

$$\frac{8}{7}-\frac{2+1}{4}$$

Add 2 and 1 to get 3.

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

Least common multiple of 7 and 4 is 28. Convert \frac{8}{7} and \frac{3}{4} to fractions with denominator 28.

$$\frac{32}{28}-\frac{21}{28}$$

Since \frac{32}{28} and \frac{21}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-21}{28}$$

Subtract 21 from 32 to get 11.

$$\frac{11}{28}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 7} = 0.39285714285714285$$