Solve 12/4+5/8-7/12

$$\frac{ 12 }{ 4 } + \frac{ 5 }{ 8 } - \frac{ 7 }{ 12 }$$

Evaluate

$$\frac{73}{24}\approx 3.041666667$$

Solution Steps

Divide 12 by 4 to get 3.

$$3+\frac{5}{8}-\frac{7}{12}$$

Convert 3 to fraction \frac{24}{8}.

$$\frac{24}{8}+\frac{5}{8}-\frac{7}{12}$$

Since \frac{24}{8} and \frac{5}{8} have the same denominator, add them by adding their numerators.

$$\frac{24+5}{8}-\frac{7}{12}$$

Add 24 and 5 to get 29.

$$\frac{29}{8}-\frac{7}{12}$$

Least common multiple of 8 and 12 is 24. Convert \frac{29}{8} and \frac{7}{12} to fractions with denominator 24.

$$\frac{87}{24}-\frac{14}{24}$$

Since \frac{87}{24} and \frac{14}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{87-14}{24}$$

Subtract 14 from 87 to get 73.

$$\frac{73}{24}$$

Factor

$$\frac{73}{2 ^ {3} \cdot 3} = 3\frac{1}{24} = 3.0416666666666665$$