What is 124/96 Simplified? (Reduce 124/96 to Lowest Terms: 31/24)

Exact Answer

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Problem: Simplify 124/96 to Lowest Terms
Formula / Expression: 124/96 = 31/24
Final Answer: 1 7/24 (31/24)
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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 124: 1, 2, 4, 31, 62, 124
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Working: GCD(124, 96) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (124) and denominator (96) by 4.
Working: 124 ÷ 4/96 ÷ 4 = 31/24

Step 3: Convert Improper Fraction to a Mixed Number
Because 31 is larger than 24, 31/24 can also be written as the mixed number 1 7/24.
Working: 31/24 = 1 7/24

Key Values:
- Simplified Fraction: 31/24
- Mixed Number Form: 1 7/24
- Decimal Value: 1.291667
- Percentage: 129.1667%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-124-96/
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124/96 = 31/24

Simplified Fraction

31/24

Mixed Number

1 7/24

Decimal Value

1.291667

Percentage

129.1667%

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Step-by-Step Solution: 124/96 = 31/24

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 124: 1, 2, 4, 31, 62, 124
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD(124, 96) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (124) and denominator (96) by 4.

124 ÷ 4/96 ÷ 4 = 31/24

Step 3

Convert Improper Fraction to a Mixed Number

Because 31 is larger than 24, 31/24 can also be written as the mixed number 1 7/24.

31/24 = 17/24

Visual Representation

The diagram below illustrates Simplify 124/96 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`31/24`
Mixed Number Form	`1 7/24`
Decimal Form	`1.291667`
Percentage	`129.1667%`

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Frequently Asked Questions

What is 124/96 in simplest form?

124/96 simplified to lowest terms is 31/24.

What is the GCD (GCF) of 124 and 96?

The Greatest Common Divisor (GCD) of 124 and 96 is 4.

What are equivalent fractions to 124/96?

Equivalent fractions to 124/96 include 62/48, 93/72, and 124/96.