Solve 3+1/4+7/8

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

Evaluate

$$\frac{33}{8}=4.125$$

Solution Steps

Convert 3 to fraction \frac{12}{4}.

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

Since \frac{12}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 12 and 1 to get 13.

$$\frac{13}{4}+\frac{7}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{13}{4} and \frac{7}{8} to fractions with denominator 8.

$$\frac{26}{8}+\frac{7}{8}$$

Since \frac{26}{8} and \frac{7}{8} have the same denominator, add them by adding their numerators.

$$\frac{26+7}{8}$$

Add 26 and 7 to get 33.

$$\frac{33}{8}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {3}} = 4\frac{1}{8} = 4.125$$