Simplify 12/52 to Lowest Terms
12/52 simplified to its lowest terms is 3/13 (or 0.230769 in decimal). See how to reduce 12/52 using Greatest Common Divisor (GCD = 4).
Exact Answer
12/52 = 3/13
Simplified Fraction
3/13
Mixed Number
Proper (3/13)
Decimal Value
0.230769
Percentage
23.0769%
Step-by-Step Solution: 12/52 = 3/13
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 12:
• Factors of 52:
• Factors of 12:
1, 2, 3, 4, 6, 12• Factors of 52:
1, 2, 4, 13, 26, 52
GCD(12, 52) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (12) and denominator (52) by 4.
12 ÷ 4/52 ÷ 4 = 3/13
Visual Representation
The diagram below illustrates Simplify 12/52 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/13 |
| Mixed Number Form | 3/13 |
| Decimal Form | 0.230769 |
| Percentage | 23.0769% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 12/52 in simplest form?
12/52 simplified to lowest terms is 3/13.
What is the GCD (GCF) of 12 and 52?
The Greatest Common Divisor (GCD) of 12 and 52 is 4.
What are equivalent fractions to 12/52?
Equivalent fractions to 12/52 include 6/26, 9/39, and 12/52.