Solve (1-4/5)+5/8=

$$(1- \frac{ 4 }{ 5 } )+ \frac{ 5 }{ 8 } =$$

Evaluate

$$\frac{33}{40}=0.825$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

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

Since \frac{5}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 5 to get 1.

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

Least common multiple of 5 and 8 is 40. Convert \frac{1}{5} and \frac{5}{8} to fractions with denominator 40.

$$\frac{8}{40}+\frac{25}{40}$$

Since \frac{8}{40} and \frac{25}{40} have the same denominator, add them by adding their numerators.

$$\frac{8+25}{40}$$

Add 8 and 25 to get 33.

$$\frac{33}{40}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {3} \cdot 5} = 0.825$$