Problem 30 - Introductory Algebra for College Students

Question

Perform the indicated subtraction. $$\frac{1}{7}-\left(-\frac{3}{7}\right)$$

Step-by-Step Solution

Answer

The result of the subtraction is \(\frac{4}{7}\).

Step 1: Rewrite and Simplify

Rewrite \(\frac{1}{7} - (-\frac{3}{7})\) as \(\frac{1}{7} + \frac{3}{7}\). This is because subtracting a negative number is equivalent to adding its absolute value. It simplifies the calculation.

Step 2: Add the Fractions

Now, add the fractions. When adding fractions, if the denominators are the same, you just add the numerators. Here the denominators are the same (7), so add the numerators 1 + 3.

Step 3: Simplify the Result

The sum of the numerators is 4, so the result is \(\frac{4}{7}\).