Simplify 52/130 to Lowest Terms
52/130 simplified to its lowest terms is 2/5 (or 0.4 in decimal). See how to reduce 52/130 using Greatest Common Divisor (GCD = 26).
Exact Answer
52/130 = 2/5
Simplified Fraction
2/5
Mixed Number
Proper (2/5)
Decimal Value
0.4
Percentage
40%
Step-by-Step Solution: 52/130 = 2/5
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 52:
• Factors of 130:
• Factors of 52:
1, 2, 4, 13, 26, 52• Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130
GCD(52, 130) = 26
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 26. Divide both the numerator (52) and denominator (130) by 26.
52 ÷ 26/130 ÷ 26 = 2/5
Visual Representation
The diagram below illustrates Simplify 52/130 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/5 |
| Mixed Number Form | 2/5 |
| Decimal Form | 0.4 |
| Percentage | 40% |
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Frequently Asked Questions
What is 52/130 in simplest form?
52/130 simplified to lowest terms is 2/5.
What is the GCD (GCF) of 52 and 130?
The Greatest Common Divisor (GCD) of 52 and 130 is 26.
What are equivalent fractions to 52/130?
Equivalent fractions to 52/130 include 4/10, 6/15, and 8/20.