Problem 27 - Introductory Algebra for College Students

Question

Perform the indicated subtraction. $$\frac{3}{7}-\frac{5}{7}$$

Step-by-Step Solution

Answer

The result of the operation \(\frac{3}{7}-\frac{5}{7}\) is \(-\frac{2}{7}\).

Step 1: Observe the denominators

The fractions \(\frac{3}{7}\) and \(\frac{5}{7}\) have the same denominator (which is 7). Therefore, when subtracting these two fractions, the denominator will remain the same.

Step 2: Subtract the numerators

Now, subtract the numerators of the two fractions, that is, subtract 5 from 3. Perform the operation \(3 - 5 = -2\).

Step 3: Form the result

Using the result of the subtraction and the common denominator, form the resulting fraction which is \(-\frac{2}{7}\).