What is 1504/1434 Simplified? (Reduce 1504/1434 to Lowest Terms: 752/717)

Exact Answer

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Problem: Simplify 1504/1434 to Lowest Terms
Formula / Expression: 1504/1434 = 752/717
Final Answer: 1 35/717 (752/717)
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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 1504: 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
• Factors of 1434: 1, 2, 3, 6, 239, 478, 717, 1434
Working: GCD(1504, 1434) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1504) and denominator (1434) by 2.
Working: 1504 ÷ 2/1434 ÷ 2 = 752/717

Step 3: Convert Improper Fraction to a Mixed Number
Because 752 is larger than 717, 752/717 can also be written as the mixed number 1 35/717.
Working: 752/717 = 1 35/717

Key Values:
- Simplified Fraction: 752/717
- Mixed Number Form: 1 35/717
- Decimal Value: 1.048815
- Percentage: 104.8815%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1504-1434/
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1504/1434 = 752/717

Simplified Fraction

752/717

Mixed Number

1 35/717

Decimal Value

1.048815

Percentage

104.8815%

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Step-by-Step Solution: 1504/1434 = 752/717

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1504: 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
• Factors of 1434: 1, 2, 3, 6, 239, 478, 717, 1434

GCD(1504, 1434) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1504) and denominator (1434) by 2.

1504 ÷ 2/1434 ÷ 2 = 752/717

Step 3

Convert Improper Fraction to a Mixed Number

Because 752 is larger than 717, 752/717 can also be written as the mixed number 1 35/717.

752/717 = 135/717

Visual Representation

The diagram below illustrates Simplify 1504/1434 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`752/717`
Mixed Number Form	`1 35/717`
Decimal Form	`1.048815`
Percentage	`104.8815%`

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Frequently Asked Questions

What is 1504/1434 in simplest form?

1504/1434 simplified to lowest terms is 752/717.

What is the GCD (GCF) of 1504 and 1434?

The Greatest Common Divisor (GCD) of 1504 and 1434 is 2.

What are equivalent fractions to 1504/1434?

Equivalent fractions to 1504/1434 include 1504/1434, 2256/2151, and 3008/2868.