Simplify 76/130 to Lowest Terms
76/130 simplified to its lowest terms is 38/65 (or 0.584615 in decimal). See how to reduce 76/130 using Greatest Common Divisor (GCD = 2).
Exact Answer
76/130 = 38/65
Simplified Fraction
38/65
Mixed Number
Proper (38/65)
Decimal Value
0.584615
Percentage
58.4615%
Step-by-Step Solution: 76/130 = 38/65
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 130:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130
GCD(76, 130) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (76) and denominator (130) by 2.
76 ÷ 2/130 ÷ 2 = 38/65
Visual Representation
The diagram below illustrates Simplify 76/130 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 38/65 |
| Mixed Number Form | 38/65 |
| Decimal Form | 0.584615 |
| Percentage | 58.4615% |
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Frequently Asked Questions
What is 76/130 in simplest form?
76/130 simplified to lowest terms is 38/65.
What is the GCD (GCF) of 76 and 130?
The Greatest Common Divisor (GCD) of 76 and 130 is 2.
What are equivalent fractions to 76/130?
Equivalent fractions to 76/130 include 76/130, 114/195, and 152/260.