What is 78/96 Simplified? (Reduce 78/96 to Lowest Terms: 13/16)

Exact Answer

78/96 = 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: 78/96 = 13/16

Step 1

Find the Factors of the Numerator and Denominator

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

GCD(78, 96) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (78) and denominator (96) by 6.

78 ÷ 6/96 ÷ 6 = 13/16

Visual Representation

The diagram below illustrates Simplify 78/96 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 78/96 in simplest form?

78/96 simplified to lowest terms is 13/16.

What is the GCD (GCF) of 78 and 96?

The Greatest Common Divisor (GCD) of 78 and 96 is 6.

What are equivalent fractions to 78/96?

Equivalent fractions to 78/96 include 26/32, 39/48, and 52/64.