Problem 40 - Introductory Algebra for College Students

Question

Simplify each fraction by reducing it to its lowest terms. $$\frac{116}{86}$$

Step-by-Step Solution

Answer

The simplified form of \(\frac{116}{86}\) is \(\frac{58}{43}\).

Step 1: Identify the Greatest Common Factor

Start by finding the greatest common factor (GCF) of 116 and 86. In this case, the GCF is 2.

Step 2: Divide by the GCF

Divide both the numerator (116) and the denominator (86) by the GCF. Doing this gives: \(\frac{116 \div 2}{86 \div 2} = \frac{58}{43}\).

Step 3: Check if Further Simplification is Possible

Check if there is any common factor again. If not, then the fraction \(\frac{58}{43}\) is in its simplest or lowest terms.