What is 1550/3380 Simplified? (Reduce 1550/3380 to Lowest Terms: 155/338)

Exact Answer

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Problem: Simplify 1550/3380 to Lowest Terms
Formula / Expression: 1550/3380 = 155/338
Final Answer: 155/338
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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 3380: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845
Working: GCD(1550, 3380) = 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 (3380) by 10.
Working: 1550 ÷ 10/3380 ÷ 10 = 155/338

Key Values:
- Simplified Fraction: 155/338
- Mixed Number Form: 155/338
- Decimal Value: 0.45858
- Percentage: 45.858%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1550-3380/
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1550/3380 = 155/338

Simplified Fraction

155/338

Mixed Number

Proper (155/338)

Decimal Value

0.45858

Percentage

45.858%

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Step-by-Step Solution: 1550/3380 = 155/338

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 3380: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845

GCD(1550, 3380) = 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 (3380) by 10.

1550 ÷ 10/3380 ÷ 10 = 155/338

Visual Representation

The diagram below illustrates Simplify 1550/3380 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`155/338`
Mixed Number Form	`155/338`
Decimal Form	`0.45858`
Percentage	`45.858%`

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Frequently Asked Questions

What is 1550/3380 in simplest form?

1550/3380 simplified to lowest terms is 155/338.

What is the GCD (GCF) of 1550 and 3380?

The Greatest Common Divisor (GCD) of 1550 and 3380 is 10.

What are equivalent fractions to 1550/3380?

Equivalent fractions to 1550/3380 include 310/676, 465/1014, and 620/1352.