Solve 1+1/4+1/8/5

$$\frac { 1 + \frac { 1 } { 4 } + \frac { 1 } { 8 } } { 5 }$$

Evaluate

$$\frac{11}{40}=0.275$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

$$\frac{\frac{4}{4}+\frac{1}{4}+\frac{1}{8}}{5}$$

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

$$\frac{\frac{4+1}{4}+\frac{1}{8}}{5}$$

Add 4 and 1 to get 5.

$$\frac{\frac{5}{4}+\frac{1}{8}}{5}$$

Least common multiple of 4 and 8 is 8. Convert \frac{5}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{\frac{10}{8}+\frac{1}{8}}{5}$$

Since \frac{10}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{10+1}{8}}{5}$$

Add 10 and 1 to get 11.

$$\frac{\frac{11}{8}}{5}$$

Express \frac{\frac{11}{8}}{5} as a single fraction.

$$\frac{11}{8\times 5}$$

Multiply 8 and 5 to get 40.

$$\frac{11}{40}$$

Factor

$$\frac{11}{2 ^ {3} \cdot 5} = 0.275$$