Solve 7/8+3/4+1/2

$$\frac { 7 } { 8 } + \frac { 3 } { 4 } + \frac { 1 } { 2 }$$

Evaluate

$$\frac{17}{8}=2.125$$

Solution Steps

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

$$\frac{7}{8}+\frac{6}{8}+\frac{1}{2}$$

Since \frac{7}{8} and \frac{6}{8} have the same denominator, add them by adding their numerators.

$$\frac{7+6}{8}+\frac{1}{2}$$

Add 7 and 6 to get 13.

$$\frac{13}{8}+\frac{1}{2}$$

Least common multiple of 8 and 2 is 8. Convert \frac{13}{8} and \frac{1}{2} to fractions with denominator 8.

$$\frac{13}{8}+\frac{4}{8}$$

Since \frac{13}{8} and \frac{4}{8} have the same denominator, add them by adding their numerators.

$$\frac{13+4}{8}$$

Add 13 and 4 to get 17.

$$\frac{17}{8}$$

Factor

$$\frac{17}{2 ^ {3}} = 2\frac{1}{8} = 2.125$$