What is 130/200 Simplified? (Reduce 130/200 to Lowest Terms: 13/20)

Exact Answer

130/200 = 13/20

Simplified Fraction

13/20

Mixed Number

Proper (13/20)

Decimal Value

0.65

Percentage

65%

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Step-by-Step Solution: 130/200 = 13/20

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130
• Factors of 200: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD(130, 200) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (130) and denominator (200) by 10.

130 ÷ 10/200 ÷ 10 = 13/20

Visual Representation

The diagram below illustrates Simplify 130/200 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/20`
Mixed Number Form	`13/20`
Decimal Form	`0.65`
Percentage	`65%`

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Frequently Asked Questions

What is 130/200 in simplest form?

130/200 simplified to lowest terms is 13/20.

What is the GCD (GCF) of 130 and 200?

The Greatest Common Divisor (GCD) of 130 and 200 is 10.

What are equivalent fractions to 130/200?

Equivalent fractions to 130/200 include 26/40, 39/60, and 52/80.