What is 1150/3480 Simplified? (Reduce 1150/3480 to Lowest Terms: 115/348)

Exact Answer

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Problem: Simplify 1150/3480 to Lowest Terms
Formula / Expression: 1150/3480 = 115/348
Final Answer: 115/348
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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 1150: 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
• Factors of 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58
Working: GCD(1150, 3480) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1150) and denominator (3480) by 10.
Working: 1150 ÷ 10/3480 ÷ 10 = 115/348

Key Values:
- Simplified Fraction: 115/348
- Mixed Number Form: 115/348
- Decimal Value: 0.33046
- Percentage: 33.046%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1150-3480/
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1150/3480 = 115/348

Simplified Fraction

115/348

Mixed Number

Proper (115/348)

Decimal Value

0.33046

Percentage

33.046%

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Step-by-Step Solution: 1150/3480 = 115/348

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1150: 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150
• Factors of 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58

GCD(1150, 3480) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1150) and denominator (3480) by 10.

1150 ÷ 10/3480 ÷ 10 = 115/348

Visual Representation

The diagram below illustrates Simplify 1150/3480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`115/348`
Mixed Number Form	`115/348`
Decimal Form	`0.33046`
Percentage	`33.046%`

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Frequently Asked Questions

What is 1150/3480 in simplest form?

1150/3480 simplified to lowest terms is 115/348.

What is the GCD (GCF) of 1150 and 3480?

The Greatest Common Divisor (GCD) of 1150 and 3480 is 10.

What are equivalent fractions to 1150/3480?

Equivalent fractions to 1150/3480 include 230/696, 345/1044, and 460/1392.