Solve 5/25-5/10*8/25

$$\frac { 5 } { 25 } - \frac { 5 } { 10 } \cdot \frac { 8 } { 25 }$$

Evaluate

$$\frac{1}{25}=0.04$$

Solution Steps

Reduce the fraction \frac{5}{25} to lowest terms by extracting and canceling out 5.

$$\frac{1}{5}-\frac{5}{10}\times \frac{8}{25}$$

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{5}-\frac{1}{2}\times \frac{8}{25}$$

Multiply \frac{1}{2} times \frac{8}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{5}-\frac{1\times 8}{2\times 25}$$

Do the multiplications in the fraction \frac{1\times 8}{2\times 25}.

$$\frac{1}{5}-\frac{8}{50}$$

Reduce the fraction \frac{8}{50} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}-\frac{4}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{1}{5} and \frac{4}{25} to fractions with denominator 25.

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

Since \frac{5}{25} and \frac{4}{25} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 5 to get 1.

$$\frac{1}{25}$$

Factor

$$\frac{1}{5 ^ {2}} = 0.04$$