What is 1320/3744 Simplified? (Reduce 1320/3744 to Lowest Terms: 55/156)

Exact Answer

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Problem: Simplify 1320/3744 to Lowest Terms
Formula / Expression: 1320/3744 = 55/156
Final Answer: 55/156
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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 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33
• Factors of 3744: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39
Working: GCD(1320, 3744) = 24

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1320) and denominator (3744) by 24.
Working: 1320 ÷ 24/3744 ÷ 24 = 55/156

Key Values:
- Simplified Fraction: 55/156
- Mixed Number Form: 55/156
- Decimal Value: 0.352564
- Percentage: 35.2564%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1320-3744/
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1320/3744 = 55/156

Simplified Fraction

55/156

Mixed Number

Proper (55/156)

Decimal Value

0.352564

Percentage

35.2564%

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Step-by-Step Solution: 1320/3744 = 55/156

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33
• Factors of 3744: 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 32, 36, 39

GCD(1320, 3744) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1320) and denominator (3744) by 24.

1320 ÷ 24/3744 ÷ 24 = 55/156

Visual Representation

The diagram below illustrates Simplify 1320/3744 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`55/156`
Mixed Number Form	`55/156`
Decimal Form	`0.352564`
Percentage	`35.2564%`

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Frequently Asked Questions

What is 1320/3744 in simplest form?

1320/3744 simplified to lowest terms is 55/156.

What is the GCD (GCF) of 1320 and 3744?

The Greatest Common Divisor (GCD) of 1320 and 3744 is 24.

What are equivalent fractions to 1320/3744?

Equivalent fractions to 1320/3744 include 110/312, 165/468, and 220/624.