Solve (3/4-1/8)+5/12

$$( \frac{ 3 }{ 4 } - \frac{ 1 }{ 8 } )+ \frac{ 5 }{ 12 }$$

Evaluate

$$\frac{25}{24}\approx 1.041666667$$

Solution Steps

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{6}{8}-\frac{1}{8}+\frac{5}{12}$$

Since \frac{6}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{8}+\frac{5}{12}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{8}+\frac{5}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{5}{8} and \frac{5}{12} to fractions with denominator 24.

$$\frac{15}{24}+\frac{10}{24}$$

Since \frac{15}{24} and \frac{10}{24} have the same denominator, add them by adding their numerators.

$$\frac{15+10}{24}$$

Add 15 and 10 to get 25.

$$\frac{25}{24}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {3} \cdot 3} = 1\frac{1}{24} = 1.0416666666666667$$