Question

Perform the indicated operation. Write all results in lowest terms. $$\frac{1}{5}-1$$

Short answer

Answer: The result of the operation is \(\frac{-4}{5}\).

Step-by-step solution

Rewrite the Integer as a Fraction with a Common Denominator

Rewrite 1 as a fraction with the same denominator as the other fraction. In this case, we will rewrite 1 as a fraction with a denominator of 5: $$1 = \frac{5}{5}$$

Subtract the Fractions

Now, we can subtract the two fractions since they have the same denominator: $$\frac{1}{5} - \frac{5}{5}$$

Perform the Operation and Simplify

Subtract the numerators and keep the denominator the same: $$\frac{1 - 5}{5} = \frac{-4}{5}$$ The given operation results in the lowest term of $$\frac{-4}{5}$$