Solve 1/10-4/5*1/5

$$\frac{ 1 }{ 10 } - \frac{ 4 }{ 5 } \times \frac{ 1 }{ 5 }$$

Evaluate

$$-\frac{3}{50}=-0.06$$

Solution Steps

Multiply \frac{4}{5} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{10}-\frac{4\times 1}{5\times 5}$$

Do the multiplications in the fraction \frac{4\times 1}{5\times 5}.

$$\frac{1}{10}-\frac{4}{25}$$

Least common multiple of 10 and 25 is 50. Convert \frac{1}{10} and \frac{4}{25} to fractions with denominator 50.

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

Since \frac{5}{50} and \frac{8}{50} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 8 from 5 to get -3.

$$-\frac{3}{50}$$

Factor

$$-\frac{3}{50} = -0.06$$