What is 1080/3380 Simplified? (Reduce 1080/3380 to Lowest Terms: 54/169)

Exact Answer

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Problem: Simplify 1080/3380 to Lowest Terms
Formula / Expression: 1080/3380 = 54/169
Final Answer: 54/169
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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 1080: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30
• Factors of 3380: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845
Working: GCD(1080, 3380) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1080) and denominator (3380) by 20.
Working: 1080 ÷ 20/3380 ÷ 20 = 54/169

Key Values:
- Simplified Fraction: 54/169
- Mixed Number Form: 54/169
- Decimal Value: 0.319527
- Percentage: 31.9527%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1080-3380/
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1080/3380 = 54/169

Simplified Fraction

54/169

Mixed Number

Proper (54/169)

Decimal Value

0.319527

Percentage

31.9527%

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Step-by-Step Solution: 1080/3380 = 54/169

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1080: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30
• Factors of 3380: 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845

GCD(1080, 3380) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1080) and denominator (3380) by 20.

1080 ÷ 20/3380 ÷ 20 = 54/169

Visual Representation

The diagram below illustrates Simplify 1080/3380 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`54/169`
Mixed Number Form	`54/169`
Decimal Form	`0.319527`
Percentage	`31.9527%`

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Frequently Asked Questions

What is 1080/3380 in simplest form?

1080/3380 simplified to lowest terms is 54/169.

What is the GCD (GCF) of 1080 and 3380?

The Greatest Common Divisor (GCD) of 1080 and 3380 is 20.

What are equivalent fractions to 1080/3380?

Equivalent fractions to 1080/3380 include 108/338, 162/507, and 216/676.