Simplify 13/4

Reduce the fraction 13/4 to its lowest terms with a complete step-by-step solution.

Answer: 13/4 = \frac{13}{4}

Step-by-Step Solution

Step 1 Identify the Fraction

We need to simplify the fraction 13/4 to its lowest terms.

A fraction is in lowest terms when the numerator and denominator have no common factors other than 1.

\frac{13}{4} = ?

Step 2 Find Factors of the Numerator

First, let's find all factors of 13 (the numerator).

Factors are numbers that divide evenly into 13.

\text{Factors of } 13: 1, 13

Step 3 Find Factors of the Denominator

Now let's find all factors of 4 (the denominator).

\text{Factors of } 4: 1, 2, 4

Step 4 Find the Greatest Common Factor (GCF)

The common factors of 13 and 4 are: 1

The Greatest Common Factor (GCF) is the largest of these: 1

We will divide both the numerator and denominator by 1.

\text{GCF}(13, 4) = 1

Step 5 Divide Both by the GCF

Divide the numerator by 1: 13 ÷ 1 = 13

Divide the denominator by 1: 4 ÷ 1 = 4

\frac{13}{4} = \frac{13 \div 1}{4 \div 1} = \frac{13}{4}

Step 6 Result

The fraction 13/4 is already in its simplest form!

The numerator and denominator have no common factors other than 1.

\frac{13}{4} \text{ is already simplified}