Problem 75 - Introductory Algebra for College Students

Question

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{16}{7}-\frac{2}{7}$$

Step-by-Step Solution

Answer

\(\frac{14}{7} = 2 \)

Step 1: Identify the Like Fractions

The given fractions are like fractions because they have the same denominator, which is 7.

Step 2: Subtraction of the Fractions

Since they are like fractions, keep the denominator the same and subtract the numerators. \[\frac{16}{7}-\frac{2}{7}= \frac{16-2}{7}\]

Step 3: Calculation & Simplify

Perform the subtraction in the numerator to get the result and it automatically becomes the simplest form. \[\frac{16-2}{7} = \frac{14}{7}\]