What is 72/96 Simplified? (Reduce 72/96 to Lowest Terms: 3/4)

Exact Answer

72/96 = 3/4

Simplified Fraction

3/4

Mixed Number

Proper (3/4)

Decimal Value

0.75

Percentage

75%

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Step-by-Step Solution: 72/96 = 3/4

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD(72, 96) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (72) and denominator (96) by 24.

72 ÷ 24/96 ÷ 24 = 3/4

Visual Representation

The diagram below illustrates Simplify 72/96 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`3/4`
Mixed Number Form	`3/4`
Decimal Form	`0.75`
Percentage	`75%`

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Frequently Asked Questions

What is 72/96 in simplest form?

72/96 simplified to lowest terms is 3/4.

What is the GCD (GCF) of 72 and 96?

The Greatest Common Divisor (GCD) of 72 and 96 is 24.

What are equivalent fractions to 72/96?

Equivalent fractions to 72/96 include 6/8, 9/12, and 12/16.