What is 3680/3310 Simplified? (Reduce 3680/3310 to Lowest Terms: 368/331)

Exact Answer

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Problem: Simplify 3680/3310 to Lowest Terms
Formula / Expression: 3680/3310 = 368/331
Final Answer: 1 37/331 (368/331)
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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 3680: 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160
• Factors of 3310: 1, 2, 5, 10, 331, 662, 1655, 3310
Working: GCD(3680, 3310) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (3680) and denominator (3310) by 10.
Working: 3680 ÷ 10/3310 ÷ 10 = 368/331

Step 3: Convert Improper Fraction to a Mixed Number
Because 368 is larger than 331, 368/331 can also be written as the mixed number 1 37/331.
Working: 368/331 = 1 37/331

Key Values:
- Simplified Fraction: 368/331
- Mixed Number Form: 1 37/331
- Decimal Value: 1.111782
- Percentage: 111.1782%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-3680-3310/
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3680/3310 = 368/331

Simplified Fraction

368/331

Mixed Number

1 37/331

Decimal Value

1.111782

Percentage

111.1782%

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Step-by-Step Solution: 3680/3310 = 368/331

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 3680: 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 80, 92, 115, 160
• Factors of 3310: 1, 2, 5, 10, 331, 662, 1655, 3310

GCD(3680, 3310) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (3680) and denominator (3310) by 10.

3680 ÷ 10/3310 ÷ 10 = 368/331

Step 3

Convert Improper Fraction to a Mixed Number

Because 368 is larger than 331, 368/331 can also be written as the mixed number 1 37/331.

368/331 = 137/331

Visual Representation

The diagram below illustrates Simplify 3680/3310 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`368/331`
Mixed Number Form	`1 37/331`
Decimal Form	`1.111782`
Percentage	`111.1782%`

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Frequently Asked Questions

What is 3680/3310 in simplest form?

3680/3310 simplified to lowest terms is 368/331.

What is the GCD (GCF) of 3680 and 3310?

The Greatest Common Divisor (GCD) of 3680 and 3310 is 10.

What are equivalent fractions to 3680/3310?

Equivalent fractions to 3680/3310 include 736/662, 1104/993, and 1472/1324.