What is 84/130 Simplified? (Reduce 84/130 to Lowest Terms: 42/65)

Exact Answer

84/130 = 42/65

Simplified Fraction

42/65

Mixed Number

Proper (42/65)

Decimal Value

0.646154

Percentage

64.6154%

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Step-by-Step Solution: 84/130 = 42/65

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
• Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130

GCD(84, 130) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (84) and denominator (130) by 2.

84 ÷ 2/130 ÷ 2 = 42/65

Visual Representation

The diagram below illustrates Simplify 84/130 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`42/65`
Mixed Number Form	`42/65`
Decimal Form	`0.646154`
Percentage	`64.6154%`

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Frequently Asked Questions

What is 84/130 in simplest form?

84/130 simplified to lowest terms is 42/65.

What is the GCD (GCF) of 84 and 130?

The Greatest Common Divisor (GCD) of 84 and 130 is 2.

What are equivalent fractions to 84/130?

Equivalent fractions to 84/130 include 84/130, 126/195, and 168/260.