Simplify 60/130 to Lowest Terms
60/130 simplified to its lowest terms is 6/13 (or 0.461538 in decimal). See how to reduce 60/130 using Greatest Common Divisor (GCD = 10).
Exact Answer
60/130 = 6/13
Simplified Fraction
6/13
Mixed Number
Proper (6/13)
Decimal Value
0.461538
Percentage
46.1538%
Step-by-Step Solution: 60/130 = 6/13
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 130:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130
GCD(60, 130) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (60) and denominator (130) by 10.
60 ÷ 10/130 ÷ 10 = 6/13
Visual Representation
The diagram below illustrates Simplify 60/130 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 6/13 |
| Mixed Number Form | 6/13 |
| Decimal Form | 0.461538 |
| Percentage | 46.1538% |
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Frequently Asked Questions
What is 60/130 in simplest form?
60/130 simplified to lowest terms is 6/13.
What is the GCD (GCF) of 60 and 130?
The Greatest Common Divisor (GCD) of 60 and 130 is 10.
What are equivalent fractions to 60/130?
Equivalent fractions to 60/130 include 12/26, 18/39, and 24/52.