What is 3290/1380 Simplified? (Reduce 3290/1380 to Lowest Terms: 329/138)

Exact Answer

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Problem: Simplify 3290/1380 to Lowest Terms
Formula / Expression: 3290/1380 = 329/138
Final Answer: 2 53/138 (329/138)
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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 3290: 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290
• Factors of 1380: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92
Working: GCD(3290, 1380) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (3290) and denominator (1380) by 10.
Working: 3290 ÷ 10/1380 ÷ 10 = 329/138

Step 3: Convert Improper Fraction to a Mixed Number
Because 329 is larger than 138, 329/138 can also be written as the mixed number 2 53/138.
Working: 329/138 = 2 53/138

Key Values:
- Simplified Fraction: 329/138
- Mixed Number Form: 2 53/138
- Decimal Value: 2.384058
- Percentage: 238.4058%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-3290-1380/
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3290/1380 = 329/138

Simplified Fraction

329/138

Mixed Number

2 53/138

Decimal Value

2.384058

Percentage

238.4058%

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Step-by-Step Solution: 3290/1380 = 329/138

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 3290: 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290
• Factors of 1380: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92

GCD(3290, 1380) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (3290) and denominator (1380) by 10.

3290 ÷ 10/1380 ÷ 10 = 329/138

Step 3

Convert Improper Fraction to a Mixed Number

Because 329 is larger than 138, 329/138 can also be written as the mixed number 2 53/138.

329/138 = 253/138

Visual Representation

The diagram below illustrates Simplify 3290/1380 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`329/138`
Mixed Number Form	`2 53/138`
Decimal Form	`2.384058`
Percentage	`238.4058%`

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Frequently Asked Questions

What is 3290/1380 in simplest form?

3290/1380 simplified to lowest terms is 329/138.

What is the GCD (GCF) of 3290 and 1380?

The Greatest Common Divisor (GCD) of 3290 and 1380 is 10.

What are equivalent fractions to 3290/1380?

Equivalent fractions to 3290/1380 include 658/276, 987/414, and 1316/552.