What is 96/76 Simplified? (Reduce 96/76 to Lowest Terms: 24/19)

Exact Answer

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Problem: Simplify 96/76 to Lowest Terms
Formula / Expression: 96/76 = 24/19
Final Answer: 1 5/19 (24/19)
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Step-by-Step Solution:

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 76: 1, 2, 4, 19, 38, 76
Working: GCD(96, 76) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (96) and denominator (76) by 4.
Working: 96 ÷ 4/76 ÷ 4 = 24/19

Step 3: Convert Improper Fraction to a Mixed Number
Because 24 is larger than 19, 24/19 can also be written as the mixed number 1 5/19.
Working: 24/19 = 1 5/19

Key Values:
- Simplified Fraction: 24/19
- Mixed Number Form: 1 5/19
- Decimal Value: 1.263158
- Percentage: 126.3158%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-96-76/
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96/76 = 24/19

Simplified Fraction

24/19

Mixed Number

1 5/19

Decimal Value

1.263158

Percentage

126.3158%

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Step-by-Step Solution: 96/76 = 24/19

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 76: 1, 2, 4, 19, 38, 76

GCD(96, 76) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (96) and denominator (76) by 4.

96 ÷ 4/76 ÷ 4 = 24/19

Step 3

Convert Improper Fraction to a Mixed Number

Because 24 is larger than 19, 24/19 can also be written as the mixed number 1 5/19.

24/19 = 15/19

Visual Representation

The diagram below illustrates Simplify 96/76 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`24/19`
Mixed Number Form	`1 5/19`
Decimal Form	`1.263158`
Percentage	`126.3158%`

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Frequently Asked Questions

What is 96/76 in simplest form?

96/76 simplified to lowest terms is 24/19.

What is the GCD (GCF) of 96 and 76?

The Greatest Common Divisor (GCD) of 96 and 76 is 4.

What are equivalent fractions to 96/76?

Equivalent fractions to 96/76 include 48/38, 72/57, and 96/76.