Simplify 36/52 to Lowest Terms
36/52 simplified to its lowest terms is 9/13 (or 0.692308 in decimal). See how to reduce 36/52 using Greatest Common Divisor (GCD = 4).
Exact Answer
36/52 = 9/13
Simplified Fraction
9/13
Mixed Number
Proper (9/13)
Decimal Value
0.692308
Percentage
69.2308%
Step-by-Step Solution: 36/52 = 9/13
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 36:
• Factors of 52:
• Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36• Factors of 52:
1, 2, 4, 13, 26, 52
GCD(36, 52) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (36) and denominator (52) by 4.
36 ÷ 4/52 ÷ 4 = 9/13
Visual Representation
The diagram below illustrates Simplify 36/52 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/13 |
| Mixed Number Form | 9/13 |
| Decimal Form | 0.692308 |
| Percentage | 69.2308% |
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Frequently Asked Questions
What is 36/52 in simplest form?
36/52 simplified to lowest terms is 9/13.
What is the GCD (GCF) of 36 and 52?
The Greatest Common Divisor (GCD) of 36 and 52 is 4.
What are equivalent fractions to 36/52?
Equivalent fractions to 36/52 include 18/26, 27/39, and 36/52.