What is 96/312 Simplified? (Reduce 96/312 to Lowest Terms: 4/13)

Exact Answer

96/312 = 4/13

Simplified Fraction

4/13

Mixed Number

Proper (4/13)

Decimal Value

0.307692

Percentage

30.7692%

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Step-by-Step Solution: 96/312 = 4/13

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
• Factors of 312: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD(96, 312) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (96) and denominator (312) by 24.

96 ÷ 24/312 ÷ 24 = 4/13

Visual Representation

The diagram below illustrates Simplify 96/312 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/13`
Mixed Number Form	`4/13`
Decimal Form	`0.307692`
Percentage	`30.7692%`

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Frequently Asked Questions

What is 96/312 in simplest form?

96/312 simplified to lowest terms is 4/13.

What is the GCD (GCF) of 96 and 312?

The Greatest Common Divisor (GCD) of 96 and 312 is 24.

What are equivalent fractions to 96/312?

Equivalent fractions to 96/312 include 8/26, 12/39, and 16/52.