Solve 7/12+1/4+3/8=

$$\frac { 7 } { 12 } + \frac { 1 } { 4 } + \frac { 3 } { 8 } =$$

Evaluate

$$\frac{29}{24}\approx 1.208333333$$

Solution Steps

Least common multiple of 12 and 4 is 12. Convert \frac{7}{12} and \frac{1}{4} to fractions with denominator 12.

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

Since \frac{7}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

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

Add 7 and 3 to get 10.

$$\frac{10}{12}+\frac{3}{8}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}+\frac{3}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{5}{6} and \frac{3}{8} to fractions with denominator 24.

$$\frac{20}{24}+\frac{9}{24}$$

Since \frac{20}{24} and \frac{9}{24} have the same denominator, add them by adding their numerators.

$$\frac{20+9}{24}$$

Add 20 and 9 to get 29.

$$\frac{29}{24}$$

Factor

$$\frac{29}{2 ^ {3} \cdot 3} = 1\frac{5}{24} = 1.2083333333333333$$