Solve 8+8/10-4/25

$$8 + \frac { 8 } { 10 } - \frac { 4 } { 25 }$$

Evaluate

$$\frac{216}{25}=8.64$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$8+\frac{4}{5}-\frac{4}{25}$$

Convert 8 to fraction \frac{40}{5}.

$$\frac{40}{5}+\frac{4}{5}-\frac{4}{25}$$

Since \frac{40}{5} and \frac{4}{5} have the same denominator, add them by adding their numerators.

$$\frac{40+4}{5}-\frac{4}{25}$$

Add 40 and 4 to get 44.

$$\frac{44}{5}-\frac{4}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{44}{5} and \frac{4}{25} to fractions with denominator 25.

$$\frac{220}{25}-\frac{4}{25}$$

Since \frac{220}{25} and \frac{4}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{220-4}{25}$$

Subtract 4 from 220 to get 216.

$$\frac{216}{25}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {3}}{5 ^ {2}} = 8\frac{16}{25} = 8.64$$