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

Exact Answer

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Problem: Simplify 1330/1504 to Lowest Terms
Formula / Expression: 1330/1504 = 665/752
Final Answer: 665/752
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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 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
• Factors of 1504: 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504
Working: GCD(1330, 1504) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1330) and denominator (1504) by 2.
Working: 1330 ÷ 2/1504 ÷ 2 = 665/752

Key Values:
- Simplified Fraction: 665/752
- Mixed Number Form: 665/752
- Decimal Value: 0.884309
- Percentage: 88.4309%

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

Simplified Fraction

665/752

Mixed Number

Proper (665/752)

Decimal Value

0.884309

Percentage

88.4309%

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

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1330: 1, 2, 5, 7, 10, 14, 19, 35, 38, 70, 95, 133, 190, 266, 665, 1330
• Factors of 1504: 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504

GCD(1330, 1504) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (1330) and denominator (1504) by 2.

1330 ÷ 2/1504 ÷ 2 = 665/752

Visual Representation

The diagram below illustrates Simplify 1330/1504 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`665/752`
Mixed Number Form	`665/752`
Decimal Form	`0.884309`
Percentage	`88.4309%`

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Frequently Asked Questions

What is 1330/1504 in simplest form?

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

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

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

What are equivalent fractions to 1330/1504?

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