What is 102/260 Simplified? (Reduce 102/260 to Lowest Terms: 51/130)

Exact Answer

102/260 = 51/130

Simplified Fraction

51/130

Mixed Number

Proper (51/130)

Decimal Value

0.392308

Percentage

39.2308%

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Step-by-Step Solution: 102/260 = 51/130

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 102: 1, 2, 3, 6, 17, 34, 51, 102
• Factors of 260: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

GCD(102, 260) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (102) and denominator (260) by 2.

102 ÷ 2/260 ÷ 2 = 51/130

Visual Representation

The diagram below illustrates Simplify 102/260 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`51/130`
Mixed Number Form	`51/130`
Decimal Form	`0.392308`
Percentage	`39.2308%`

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Frequently Asked Questions

What is 102/260 in simplest form?

102/260 simplified to lowest terms is 51/130.

What is the GCD (GCF) of 102 and 260?

The Greatest Common Divisor (GCD) of 102 and 260 is 2.

What are equivalent fractions to 102/260?

Equivalent fractions to 102/260 include 102/260, 153/390, and 204/520.