Simplify 130/420 to Lowest Terms
130/420 simplified to its lowest terms is 13/42 (or 0.309524 in decimal). See how to reduce 130/420 using Greatest Common Divisor (GCD = 10).
Exact Answer
130/420 = 13/42
Simplified Fraction
13/42
Mixed Number
Proper (13/42)
Decimal Value
0.309524
Percentage
30.9524%
Step-by-Step Solution: 130/420 = 13/42
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 130:
• Factors of 420:
• Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(130, 420) = 10
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (130) and denominator (420) by 10.
130 ÷ 10/420 ÷ 10 = 13/42
Visual Representation
The diagram below illustrates Simplify 130/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/42 |
| Mixed Number Form | 13/42 |
| Decimal Form | 0.309524 |
| Percentage | 30.9524% |
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Frequently Asked Questions
What is 130/420 in simplest form?
130/420 simplified to lowest terms is 13/42.
What is the GCD (GCF) of 130 and 420?
The Greatest Common Divisor (GCD) of 130 and 420 is 10.
What are equivalent fractions to 130/420?
Equivalent fractions to 130/420 include 26/84, 39/126, and 52/168.