Simplify 74/260 to Lowest Terms
74/260 simplified to its lowest terms is 37/130 (or 0.284615 in decimal). See how to reduce 74/260 using Greatest Common Divisor (GCD = 2).
Exact Answer
74/260 = 37/130
Simplified Fraction
37/130
Mixed Number
Proper (37/130)
Decimal Value
0.284615
Percentage
28.4615%
Step-by-Step Solution: 74/260 = 37/130
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 74:
• Factors of 260:
• Factors of 74:
1, 2, 37, 74• Factors of 260:
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
GCD(74, 260) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (74) and denominator (260) by 2.
74 ÷ 2/260 ÷ 2 = 37/130
Visual Representation
The diagram below illustrates Simplify 74/260 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 37/130 |
| Mixed Number Form | 37/130 |
| Decimal Form | 0.284615 |
| Percentage | 28.4615% |
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Frequently Asked Questions
What is 74/260 in simplest form?
74/260 simplified to lowest terms is 37/130.
What is the GCD (GCF) of 74 and 260?
The Greatest Common Divisor (GCD) of 74 and 260 is 2.
What are equivalent fractions to 74/260?
Equivalent fractions to 74/260 include 74/260, 111/390, and 148/520.