Solve 1/8+9+1/4

$$\frac { 1 } { 8 } + 9 + \frac { 1 } { 4 }$$

Evaluate

$$\frac{75}{8}=9.375$$

Solution Steps

Convert 9 to fraction \frac{72}{8}.

$$\frac{1}{8}+\frac{72}{8}+\frac{1}{4}$$

Since \frac{1}{8} and \frac{72}{8} have the same denominator, add them by adding their numerators.

$$\frac{1+72}{8}+\frac{1}{4}$$

Add 1 and 72 to get 73.

$$\frac{73}{8}+\frac{1}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{73}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{73}{8}+\frac{2}{8}$$

Since \frac{73}{8} and \frac{2}{8} have the same denominator, add them by adding their numerators.

$$\frac{73+2}{8}$$

Add 73 and 2 to get 75.

$$\frac{75}{8}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {3}} = 9\frac{3}{8} = 9.375$$