What is 130/96 Simplified? (Reduce 130/96 to Lowest Terms: 65/48)

Exact Answer

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Problem: Simplify 130/96 to Lowest Terms
Formula / Expression: 130/96 = 65/48
Final Answer: 1 17/48 (65/48)
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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 130: 1, 2, 5, 10, 13, 26, 65, 130
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Working: GCD(130, 96) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (130) and denominator (96) by 2.
Working: 130 ÷ 2/96 ÷ 2 = 65/48

Step 3: Convert Improper Fraction to a Mixed Number
Because 65 is larger than 48, 65/48 can also be written as the mixed number 1 17/48.
Working: 65/48 = 1 17/48

Key Values:
- Simplified Fraction: 65/48
- Mixed Number Form: 1 17/48
- Decimal Value: 1.354167
- Percentage: 135.4167%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-130-96/
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130/96 = 65/48

Simplified Fraction

65/48

Mixed Number

1 17/48

Decimal Value

1.354167

Percentage

135.4167%

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Step-by-Step Solution: 130/96 = 65/48

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130
• Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD(130, 96) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (130) and denominator (96) by 2.

130 ÷ 2/96 ÷ 2 = 65/48

Step 3

Convert Improper Fraction to a Mixed Number

Because 65 is larger than 48, 65/48 can also be written as the mixed number 1 17/48.

65/48 = 117/48

Visual Representation

The diagram below illustrates Simplify 130/96 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`65/48`
Mixed Number Form	`1 17/48`
Decimal Form	`1.354167`
Percentage	`135.4167%`

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Frequently Asked Questions

What is 130/96 in simplest form?

130/96 simplified to lowest terms is 65/48.

What is the GCD (GCF) of 130 and 96?

The Greatest Common Divisor (GCD) of 130 and 96 is 2.

What are equivalent fractions to 130/96?

Equivalent fractions to 130/96 include 130/96, 195/144, and 260/192.