Simplify 130/280 to Lowest Terms
130/280 simplified to its lowest terms is 13/28 (or 0.464286 in decimal). See how to reduce 130/280 using Greatest Common Divisor (GCD = 10).
Exact Answer
130/280 = 13/28
Simplified Fraction
13/28
Mixed Number
Proper (13/28)
Decimal Value
0.464286
Percentage
46.4286%
Step-by-Step Solution: 130/280 = 13/28
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 130:
• Factors of 280:
• Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130• Factors of 280:
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD(130, 280) = 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 (280) by 10.
130 ÷ 10/280 ÷ 10 = 13/28
Visual Representation
The diagram below illustrates Simplify 130/280 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/28 |
| Mixed Number Form | 13/28 |
| Decimal Form | 0.464286 |
| Percentage | 46.4286% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 130/280 in simplest form?
130/280 simplified to lowest terms is 13/28.
What is the GCD (GCF) of 130 and 280?
The Greatest Common Divisor (GCD) of 130 and 280 is 10.
What are equivalent fractions to 130/280?
Equivalent fractions to 130/280 include 26/56, 39/84, and 52/112.