Problem 31 - Introductory Algebra for College Students

Question

Perform the indicated subtraction. $$-\frac{4}{5}-\frac{1}{5}$$

Step-by-Step Solution

Answer

-1

Step 1: Identify the Fractions

We have two fractions: \(- \frac{4}{5}\) and \(\frac{1}{5}\). Notice the negative sign before the first fraction.

Step 2: Same Denominator

Since both fractions have the same denominator (5), we can proceed with subtraction. Remember, we are applying the operation to the numerators since our denominators are the same.

Step 3: Perform the Subtraction

Apply subtraction to the numerators and write the result over the common denominator: \(- \frac{4}{5} - \frac{1}{5} = \frac{-4 - 1}{5}\)

Step 4: Calculate the Numerator

Now simplify the numerator: \(-4 - 1 = -5\). So \(- \frac{4}{5} - \frac{1}{5} = \frac{-5}{5}\).

Step 5: Simplify the Result

-5 divided by 5 is -1, so \(\frac{-5}{5} = -1\). Therefore, the result of the operation \(- \frac{4}{5} - \frac{1}{5}\) is -1.