Solve 1/4+3/8+1

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

Evaluate

$$\frac{13}{8}=1.625$$

Solution Steps

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

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

Since \frac{2}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

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

Add 2 and 3 to get 5.

$$\frac{5}{8}+1$$

Convert 1 to fraction \frac{8}{8}.

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

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

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

Add 5 and 8 to get 13.

$$\frac{13}{8}$$

Factor

$$\frac{13}{2 ^ {3}} = 1\frac{5}{8} = 1.625$$