What is 3720/3390 Simplified? (Reduce 3720/3390 to Lowest Terms: 124/113)

Exact Answer

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Problem: Simplify 3720/3390 to Lowest Terms
Formula / Expression: 3720/3390 = 124/113
Final Answer: 1 11/113 (124/113)
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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 3720: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60
• Factors of 3390: 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390
Working: GCD(3720, 3390) = 30

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (3720) and denominator (3390) by 30.
Working: 3720 ÷ 30/3390 ÷ 30 = 124/113

Step 3: Convert Improper Fraction to a Mixed Number
Because 124 is larger than 113, 124/113 can also be written as the mixed number 1 11/113.
Working: 124/113 = 1 11/113

Key Values:
- Simplified Fraction: 124/113
- Mixed Number Form: 1 11/113
- Decimal Value: 1.097345
- Percentage: 109.7345%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-3720-3390/
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3720/3390 = 124/113

Simplified Fraction

124/113

Mixed Number

1 11/113

Decimal Value

1.097345

Percentage

109.7345%

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Step-by-Step Solution: 3720/3390 = 124/113

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 3720: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60
• Factors of 3390: 1, 2, 3, 5, 6, 10, 15, 30, 113, 226, 339, 565, 678, 1130, 1695, 3390

GCD(3720, 3390) = 30

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 30. Divide both the numerator (3720) and denominator (3390) by 30.

3720 ÷ 30/3390 ÷ 30 = 124/113

Step 3

Convert Improper Fraction to a Mixed Number

Because 124 is larger than 113, 124/113 can also be written as the mixed number 1 11/113.

124/113 = 111/113

Visual Representation

The diagram below illustrates Simplify 3720/3390 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`124/113`
Mixed Number Form	`1 11/113`
Decimal Form	`1.097345`
Percentage	`109.7345%`

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Frequently Asked Questions

What is 3720/3390 in simplest form?

3720/3390 simplified to lowest terms is 124/113.

What is the GCD (GCF) of 3720 and 3390?

The Greatest Common Divisor (GCD) of 3720 and 3390 is 30.

What are equivalent fractions to 3720/3390?

Equivalent fractions to 3720/3390 include 248/226, 372/339, and 496/452.