What is 72/130 Simplified? (Reduce 72/130 to Lowest Terms: 36/65)

Exact Answer

72/130 = 36/65

Simplified Fraction

36/65

Mixed Number

Proper (36/65)

Decimal Value

0.553846

Percentage

55.3846%

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Step-by-Step Solution: 72/130 = 36/65

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130

GCD(72, 130) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (130) by 2.

72 ÷ 2/130 ÷ 2 = 36/65

Visual Representation

The diagram below illustrates Simplify 72/130 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`36/65`
Mixed Number Form	`36/65`
Decimal Form	`0.553846`
Percentage	`55.3846%`

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Frequently Asked Questions

What is 72/130 in simplest form?

72/130 simplified to lowest terms is 36/65.

What is the GCD (GCF) of 72 and 130?

The Greatest Common Divisor (GCD) of 72 and 130 is 2.

What are equivalent fractions to 72/130?

Equivalent fractions to 72/130 include 72/130, 108/195, and 144/260.