Simplify 130/140 to Lowest Terms
130/140 simplified to its lowest terms is 13/14 (or 0.928571 in decimal). See how to reduce 130/140 using Greatest Common Divisor (GCD = 10).
Exact Answer
130/140 = 13/14
Simplified Fraction
13/14
Mixed Number
Proper (13/14)
Decimal Value
0.928571
Percentage
92.8571%
Step-by-Step Solution: 130/140 = 13/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 130:
• Factors of 140:
• Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130• Factors of 140:
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD(130, 140) = 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 (140) by 10.
130 ÷ 10/140 ÷ 10 = 13/14
Visual Representation
The diagram below illustrates Simplify 130/140 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/14 |
| Mixed Number Form | 13/14 |
| Decimal Form | 0.928571 |
| Percentage | 92.8571% |
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Frequently Asked Questions
What is 130/140 in simplest form?
130/140 simplified to lowest terms is 13/14.
What is the GCD (GCF) of 130 and 140?
The Greatest Common Divisor (GCD) of 130 and 140 is 10.
What are equivalent fractions to 130/140?
Equivalent fractions to 130/140 include 26/28, 39/42, and 52/56.