Simplify 9/4
Reduce the fraction 9/4 to its lowest terms with a complete step-by-step solution.
Answer:
9/4 = \frac{9}{4}
Step-by-Step Solution
Step 1
Identify the Fraction
We need to simplify the fraction 9/4 to its lowest terms.
A fraction is in lowest terms when the numerator and denominator have no common factors other than 1.
\frac{9}{4} = ?
Step 2
Find Factors of the Numerator
First, let's find all factors of 9 (the numerator).
Factors are numbers that divide evenly into 9.
\text{Factors of } 9: 1, 3, 9
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 9 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}(9, 4) = 1
Step 5
Divide Both by the GCF
Divide the numerator by 1: 9 ÷ 1 = 9
Divide the denominator by 1: 4 ÷ 1 = 4
\frac{9}{4} = \frac{9 \div 1}{4 \div 1} = \frac{9}{4}
Step 6
Result
The fraction 9/4 is already in its simplest form!
The numerator and denominator have no common factors other than 1.
\frac{9}{4} \text{ is already simplified}