What is 1500/3096 Simplified? (Reduce 1500/3096 to Lowest Terms: 125/258)

Exact Answer

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Problem: Simplify 1500/3096 to Lowest Terms
Formula / Expression: 1500/3096 = 125/258
Final Answer: 125/258
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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 1500: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
• Factors of 3096: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172
Working: GCD(1500, 3096) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1500) and denominator (3096) by 12.
Working: 1500 ÷ 12/3096 ÷ 12 = 125/258

Key Values:
- Simplified Fraction: 125/258
- Mixed Number Form: 125/258
- Decimal Value: 0.484496
- Percentage: 48.4496%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1500-3096/
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1500/3096 = 125/258

Simplified Fraction

125/258

Mixed Number

Proper (125/258)

Decimal Value

0.484496

Percentage

48.4496%

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Step-by-Step Solution: 1500/3096 = 125/258

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1500: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
• Factors of 3096: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 43, 72, 86, 129, 172

GCD(1500, 3096) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1500) and denominator (3096) by 12.

1500 ÷ 12/3096 ÷ 12 = 125/258

Visual Representation

The diagram below illustrates Simplify 1500/3096 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`125/258`
Mixed Number Form	`125/258`
Decimal Form	`0.484496`
Percentage	`48.4496%`

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Frequently Asked Questions

What is 1500/3096 in simplest form?

1500/3096 simplified to lowest terms is 125/258.

What is the GCD (GCF) of 1500 and 3096?

The Greatest Common Divisor (GCD) of 1500 and 3096 is 12.

What are equivalent fractions to 1500/3096?

Equivalent fractions to 1500/3096 include 250/516, 375/774, and 500/1032.