What is 1300/3744 Simplified? (Reduce 1300/3744 to Lowest Terms: 25/72)

Exact Answer

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Problem: Simplify 1300/3744 to Lowest Terms
Formula / Expression: 1300/3744 = 25/72
Final Answer: 25/72
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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 1300: 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325
• Factors of 3744: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39
Working: GCD(1300, 3744) = 52

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 52. Divide both the numerator (1300) and denominator (3744) by 52.
Working: 1300 ÷ 52/3744 ÷ 52 = 25/72

Key Values:
- Simplified Fraction: 25/72
- Mixed Number Form: 25/72
- Decimal Value: 0.347222
- Percentage: 34.7222%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1300-3744/
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1300/3744 = 25/72

Simplified Fraction

25/72

Mixed Number

Proper (25/72)

Decimal Value

0.347222

Percentage

34.7222%

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Step-by-Step Solution: 1300/3744 = 25/72

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1300: 1, 2, 4, 5, 10, 13, 20, 25, 26, 50, 52, 65, 100, 130, 260, 325
• Factors of 3744: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39

GCD(1300, 3744) = 52

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 52. Divide both the numerator (1300) and denominator (3744) by 52.

1300 ÷ 52/3744 ÷ 52 = 25/72

Visual Representation

The diagram below illustrates Simplify 1300/3744 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`25/72`
Mixed Number Form	`25/72`
Decimal Form	`0.347222`
Percentage	`34.7222%`

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Frequently Asked Questions

What is 1300/3744 in simplest form?

1300/3744 simplified to lowest terms is 25/72.

What is the GCD (GCF) of 1300 and 3744?

The Greatest Common Divisor (GCD) of 1300 and 3744 is 52.

What are equivalent fractions to 1300/3744?

Equivalent fractions to 1300/3744 include 50/144, 75/216, and 100/288.