What is 1550/3480 Simplified? (Reduce 1550/3480 to Lowest Terms: 155/348)

Exact Answer

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Problem: Simplify 1550/3480 to Lowest Terms
Formula / Expression: 1550/3480 = 155/348
Final Answer: 155/348
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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 1550: 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550
• Factors of 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58
Working: GCD(1550, 3480) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1550) and denominator (3480) by 10.
Working: 1550 ÷ 10/3480 ÷ 10 = 155/348

Key Values:
- Simplified Fraction: 155/348
- Mixed Number Form: 155/348
- Decimal Value: 0.445402
- Percentage: 44.5402%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1550-3480/
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1550/3480 = 155/348

Simplified Fraction

155/348

Mixed Number

Proper (155/348)

Decimal Value

0.445402

Percentage

44.5402%

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Step-by-Step Solution: 1550/3480 = 155/348

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1550: 1, 2, 5, 10, 25, 31, 50, 62, 155, 310, 775, 1550
• Factors of 3480: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 29, 30, 40, 58

GCD(1550, 3480) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1550) and denominator (3480) by 10.

1550 ÷ 10/3480 ÷ 10 = 155/348

Visual Representation

The diagram below illustrates Simplify 1550/3480 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`155/348`
Mixed Number Form	`155/348`
Decimal Form	`0.445402`
Percentage	`44.5402%`

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Frequently Asked Questions

What is 1550/3480 in simplest form?

1550/3480 simplified to lowest terms is 155/348.

What is the GCD (GCF) of 1550 and 3480?

The Greatest Common Divisor (GCD) of 1550 and 3480 is 10.

What are equivalent fractions to 1550/3480?

Equivalent fractions to 1550/3480 include 310/696, 465/1044, and 620/1392.