What is 1508/3480 Simplified? (Reduce 1508/3480 to Lowest Terms: 13/30)

Exact Answer

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Problem: Simplify 1508/3480 to Lowest Terms
Formula / Expression: 1508/3480 = 13/30
Final Answer: 13/30
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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 1508: 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
• Factors of 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58
Working: GCD(1508, 3480) = 116

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 116. Divide both the numerator (1508) and denominator (3480) by 116.
Working: 1508 ÷ 116/3480 ÷ 116 = 13/30

Key Values:
- Simplified Fraction: 13/30
- Mixed Number Form: 13/30
- Decimal Value: 0.433333
- Percentage: 43.3333%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1508-3480/
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1508/3480 = 13/30

Simplified Fraction

13/30

Mixed Number

Proper (13/30)

Decimal Value

0.433333

Percentage

43.3333%

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Step-by-Step Solution: 1508/3480 = 13/30

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1508: 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508
• Factors of 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58

GCD(1508, 3480) = 116

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 116. Divide both the numerator (1508) and denominator (3480) by 116.

1508 ÷ 116/3480 ÷ 116 = 13/30

Visual Representation

The diagram below illustrates Simplify 1508/3480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`13/30`
Mixed Number Form	`13/30`
Decimal Form	`0.433333`
Percentage	`43.3333%`

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Frequently Asked Questions

What is 1508/3480 in simplest form?

1508/3480 simplified to lowest terms is 13/30.

What is the GCD (GCF) of 1508 and 3480?

The Greatest Common Divisor (GCD) of 1508 and 3480 is 116.

What are equivalent fractions to 1508/3480?

Equivalent fractions to 1508/3480 include 26/60, 39/90, and 52/120.