What is 120/96 Simplified? (Reduce 120/96 to Lowest Terms: 5/4)

Exact Answer

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Problem: Simplify 120/96 to Lowest Terms
Formula / Expression: 120/96 = 5/4
Final Answer: 1 1/4 (5/4)
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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 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Working: GCD(120, 96) = 24

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (120) and denominator (96) by 24.
Working: 120 ÷ 24/96 ÷ 24 = 5/4

Step 3: Convert Improper Fraction to a Mixed Number
Because 5 is larger than 4, 5/4 can also be written as the mixed number 1 1/4.
Working: 5/4 = 1 1/4

Key Values:
- Simplified Fraction: 5/4
- Mixed Number Form: 1 1/4
- Decimal Value: 1.25
- Percentage: 125%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-120-96/
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120/96 = 5/4

Simplified Fraction

5/4

Mixed Number

1 1/4

Decimal Value

1.25

Percentage

125%

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Step-by-Step Solution: 120/96 = 5/4

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD(120, 96) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (120) and denominator (96) by 24.

120 ÷ 24/96 ÷ 24 = 5/4

Step 3

Convert Improper Fraction to a Mixed Number

Because 5 is larger than 4, 5/4 can also be written as the mixed number 1 1/4.

5/4 = 11/4

Visual Representation

The diagram below illustrates Simplify 120/96 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/4`
Mixed Number Form	`1 1/4`
Decimal Form	`1.25`
Percentage	`125%`

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Frequently Asked Questions

What is 120/96 in simplest form?

120/96 simplified to lowest terms is 5/4.

What is the GCD (GCF) of 120 and 96?

The Greatest Common Divisor (GCD) of 120 and 96 is 24.

What are equivalent fractions to 120/96?

Equivalent fractions to 120/96 include 10/8, 15/12, and 20/16.