Solve 2/3+5/8-8/8

$$\frac { 2 } { 3 } + \frac { 5 } { 8 } - \frac { 8 } { 8 }$$

Evaluate

$$\frac{7}{24}\approx 0.291666667$$

Solution Steps

Divide 8 by 8 to get 1.

$$\frac{2}{3}+\frac{5}{8}-1$$

Least common multiple of 3 and 8 is 24. Convert \frac{2}{3} and \frac{5}{8} to fractions with denominator 24.

$$\frac{16}{24}+\frac{15}{24}-1$$

Since \frac{16}{24} and \frac{15}{24} have the same denominator, add them by adding their numerators.

$$\frac{16+15}{24}-1$$

Add 16 and 15 to get 31.

$$\frac{31}{24}-1$$

Convert 1 to fraction \frac{24}{24}.

$$\frac{31}{24}-\frac{24}{24}$$

Since \frac{31}{24} and \frac{24}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-24}{24}$$

Subtract 24 from 31 to get 7.

$$\frac{7}{24}$$

Factor

$$\frac{7}{2 ^ {3} \cdot 3} = 0.2916666666666667$$