What is 1504/3480 Simplified? (Reduce 1504/3480 to Lowest Terms: 188/435)

Exact Answer

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Problem: Simplify 1504/3480 to Lowest Terms
Formula / Expression: 1504/3480 = 188/435
Final Answer: 188/435
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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 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58
Working: GCD(1504, 3480) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1504) and denominator (3480) by 8.
Working: 1504 ÷ 8/3480 ÷ 8 = 188/435

Key Values:
- Simplified Fraction: 188/435
- Mixed Number Form: 188/435
- Decimal Value: 0.432184
- Percentage: 43.2184%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1504-3480/
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1504/3480 = 188/435

Simplified Fraction

188/435

Mixed Number

Proper (188/435)

Decimal Value

0.432184

Percentage

43.2184%

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Step-by-Step Solution: 1504/3480 = 188/435

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 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58

GCD(1504, 3480) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (1504) and denominator (3480) by 8.

1504 ÷ 8/3480 ÷ 8 = 188/435

Visual Representation

The diagram below illustrates Simplify 1504/3480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`188/435`
Mixed Number Form	`188/435`
Decimal Form	`0.432184`
Percentage	`43.2184%`

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Frequently Asked Questions

What is 1504/3480 in simplest form?

1504/3480 simplified to lowest terms is 188/435.

What is the GCD (GCF) of 1504 and 3480?

The Greatest Common Divisor (GCD) of 1504 and 3480 is 8.

What are equivalent fractions to 1504/3480?

Equivalent fractions to 1504/3480 include 376/870, 564/1305, and 752/1740.