Simplify 130/364 to Lowest Terms
130/364 simplified to its lowest terms is 5/14 (or 0.357143 in decimal). See how to reduce 130/364 using Greatest Common Divisor (GCD = 26).
Exact Answer
130/364 = 5/14
Simplified Fraction
5/14
Mixed Number
Proper (5/14)
Decimal Value
0.357143
Percentage
35.7143%
Step-by-Step Solution: 130/364 = 5/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 130:
• Factors of 364:
• Factors of 130:
1, 2, 5, 10, 13, 26, 65, 130• Factors of 364:
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
GCD(130, 364) = 26
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 26. Divide both the numerator (130) and denominator (364) by 26.
130 ÷ 26/364 ÷ 26 = 5/14
Visual Representation
The diagram below illustrates Simplify 130/364 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/14 |
| Mixed Number Form | 5/14 |
| Decimal Form | 0.357143 |
| Percentage | 35.7143% |
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Frequently Asked Questions
What is 130/364 in simplest form?
130/364 simplified to lowest terms is 5/14.
What is the GCD (GCF) of 130 and 364?
The Greatest Common Divisor (GCD) of 130 and 364 is 26.
What are equivalent fractions to 130/364?
Equivalent fractions to 130/364 include 10/28, 15/42, and 20/56.