What is 1380/3720 Simplified? (Reduce 1380/3720 to Lowest Terms: 23/62)

Exact Answer

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Problem: Simplify 1380/3720 to Lowest Terms
Formula / Expression: 1380/3720 = 23/62
Final Answer: 23/62
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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 1380: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92
• Factors of 3720: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60
Working: GCD(1380, 3720) = 60

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 60. Divide both the numerator (1380) and denominator (3720) by 60.
Working: 1380 ÷ 60/3720 ÷ 60 = 23/62

Key Values:
- Simplified Fraction: 23/62
- Mixed Number Form: 23/62
- Decimal Value: 0.370968
- Percentage: 37.0968%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1380-3720/
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1380/3720 = 23/62

Simplified Fraction

23/62

Mixed Number

Proper (23/62)

Decimal Value

0.370968

Percentage

37.0968%

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Step-by-Step Solution: 1380/3720 = 23/62

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1380: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 30, 46, 60, 69, 92
• Factors of 3720: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 31, 40, 60

GCD(1380, 3720) = 60

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 60. Divide both the numerator (1380) and denominator (3720) by 60.

1380 ÷ 60/3720 ÷ 60 = 23/62

Visual Representation

The diagram below illustrates Simplify 1380/3720 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`23/62`
Mixed Number Form	`23/62`
Decimal Form	`0.370968`
Percentage	`37.0968%`

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Frequently Asked Questions

What is 1380/3720 in simplest form?

1380/3720 simplified to lowest terms is 23/62.

What is the GCD (GCF) of 1380 and 3720?

The Greatest Common Divisor (GCD) of 1380 and 3720 is 60.

What are equivalent fractions to 1380/3720?

Equivalent fractions to 1380/3720 include 46/124, 69/186, and 92/248.