What is 130/160 Simplified? (Reduce 130/160 to Lowest Terms: 13/16)

Exact Answer

130/160 = 13/16

Simplified Fraction

13/16

Mixed Number

Proper (13/16)

Decimal Value

0.8125

Percentage

81.25%

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Step-by-Step Solution: 130/160 = 13/16

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 160: 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD(130, 160) = 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 (160) by 10.

130 ÷ 10/160 ÷ 10 = 13/16

Visual Representation

The diagram below illustrates Simplify 130/160 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/16`
Mixed Number Form	`13/16`
Decimal Form	`0.8125`
Percentage	`81.25%`

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Frequently Asked Questions

What is 130/160 in simplest form?

130/160 simplified to lowest terms is 13/16.

What is the GCD (GCF) of 130 and 160?

The Greatest Common Divisor (GCD) of 130 and 160 is 10.

What are equivalent fractions to 130/160?

Equivalent fractions to 130/160 include 26/32, 39/48, and 52/64.