What is 130/416 Simplified? (Reduce 130/416 to Lowest Terms: 5/16)

Exact Answer

130/416 = 5/16

Simplified Fraction

5/16

Mixed Number

Proper (5/16)

Decimal Value

0.3125

Percentage

31.25%

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Step-by-Step Solution: 130/416 = 5/16

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 416: 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD(130, 416) = 26

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 26. Divide both the numerator (130) and denominator (416) by 26.

130 ÷ 26/416 ÷ 26 = 5/16

Visual Representation

The diagram below illustrates Simplify 130/416 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/16`
Mixed Number Form	`5/16`
Decimal Form	`0.3125`
Percentage	`31.25%`

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Frequently Asked Questions

What is 130/416 in simplest form?

130/416 simplified to lowest terms is 5/16.

What is the GCD (GCF) of 130 and 416?

The Greatest Common Divisor (GCD) of 130 and 416 is 26.

What are equivalent fractions to 130/416?

Equivalent fractions to 130/416 include 10/32, 15/48, and 20/64.