What is 130/84 Simplified? (Reduce 130/84 to Lowest Terms: 65/42)

Exact Answer

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Problem: Simplify 130/84 to Lowest Terms
Formula / Expression: 130/84 = 65/42
Final Answer: 1 23/42 (65/42)
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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 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Working: GCD(130, 84) = 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 (84) by 2.
Working: 130 ÷ 2/84 ÷ 2 = 65/42

Step 3: Convert Improper Fraction to a Mixed Number
Because 65 is larger than 42, 65/42 can also be written as the mixed number 1 23/42.
Working: 65/42 = 1 23/42

Key Values:
- Simplified Fraction: 65/42
- Mixed Number Form: 1 23/42
- Decimal Value: 1.547619
- Percentage: 154.7619%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-130-84/
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130/84 = 65/42

Simplified Fraction

65/42

Mixed Number

1 23/42

Decimal Value

1.547619

Percentage

154.7619%

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Step-by-Step Solution: 130/84 = 65/42

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 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

GCD(130, 84) = 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 (84) by 2.

130 ÷ 2/84 ÷ 2 = 65/42

Step 3

Convert Improper Fraction to a Mixed Number

Because 65 is larger than 42, 65/42 can also be written as the mixed number 1 23/42.

65/42 = 123/42

Visual Representation

The diagram below illustrates Simplify 130/84 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`65/42`
Mixed Number Form	`1 23/42`
Decimal Form	`1.547619`
Percentage	`154.7619%`

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Frequently Asked Questions

What is 130/84 in simplest form?

130/84 simplified to lowest terms is 65/42.

What is the GCD (GCF) of 130 and 84?

The Greatest Common Divisor (GCD) of 130 and 84 is 2.

What are equivalent fractions to 130/84?

Equivalent fractions to 130/84 include 130/84, 195/126, and 260/168.