What is 1504/1330 Simplified? (Reduce 1504/1330 to Lowest Terms: 752/665)

Exact Answer

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Problem: Simplify 1504/1330 to Lowest Terms
Formula / Expression: 1504/1330 = 752/665
Final Answer: 1 87/665 (752/665)
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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 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
Working: GCD(1504, 1330) = 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 (1330) by 2.
Working: 1504 ÷ 2/1330 ÷ 2 = 752/665

Step 3: Convert Improper Fraction to a Mixed Number
Because 752 is larger than 665, 752/665 can also be written as the mixed number 1 87/665.
Working: 752/665 = 1 87/665

Key Values:
- Simplified Fraction: 752/665
- Mixed Number Form: 1 87/665
- Decimal Value: 1.130827
- Percentage: 113.0827%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1504-1330/
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1504/1330 = 752/665

Simplified Fraction

752/665

Mixed Number

1 87/665

Decimal Value

1.130827

Percentage

113.0827%

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Step-by-Step Solution: 1504/1330 = 752/665

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 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330

GCD(1504, 1330) = 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 (1330) by 2.

1504 ÷ 2/1330 ÷ 2 = 752/665

Step 3

Convert Improper Fraction to a Mixed Number

Because 752 is larger than 665, 752/665 can also be written as the mixed number 1 87/665.

752/665 = 187/665

Visual Representation

The diagram below illustrates Simplify 1504/1330 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`752/665`
Mixed Number Form	`1 87/665`
Decimal Form	`1.130827`
Percentage	`113.0827%`

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Frequently Asked Questions

What is 1504/1330 in simplest form?

1504/1330 simplified to lowest terms is 752/665.

What is the GCD (GCF) of 1504 and 1330?

The Greatest Common Divisor (GCD) of 1504 and 1330 is 2.

What are equivalent fractions to 1504/1330?

Equivalent fractions to 1504/1330 include 1504/1330, 2256/1995, and 3008/2660.