Simplify 9/12 to Lowest Terms
9/12 simplified to its lowest terms is 3/4 (or 0.75 in decimal). See how to reduce 9/12 using Greatest Common Divisor (GCD = 3).
Exact Answer
9/12 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 9/12 = 3/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 9:
• Factors of 12:
• Factors of 9:
1, 3, 9• Factors of 12:
1, 2, 3, 4, 6, 12
GCD(9, 12) = 3
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 3. Divide both the numerator (9) and denominator (12) by 3.
9 ÷ 3/12 ÷ 3 = 3/4
Visual Representation
The diagram below illustrates Simplify 9/12 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 9/12 in simplest form?
9/12 simplified to lowest terms is 3/4.
What is the GCD (GCF) of 9 and 12?
The Greatest Common Divisor (GCD) of 9 and 12 is 3.
What are equivalent fractions to 9/12?
Equivalent fractions to 9/12 include 6/8, 9/12, and 12/16.