What is 1440/2964 Simplified? (Reduce 1440/2964 to Lowest Terms: 120/247)

Exact Answer

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Problem: Simplify 1440/2964 to Lowest Terms
Formula / Expression: 1440/2964 = 120/247
Final Answer: 120/247
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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 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 2964: 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114
Working: GCD(1440, 2964) = 12

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1440) and denominator (2964) by 12.
Working: 1440 ÷ 12/2964 ÷ 12 = 120/247

Key Values:
- Simplified Fraction: 120/247
- Mixed Number Form: 120/247
- Decimal Value: 0.48583
- Percentage: 48.583%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-2964/
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1440/2964 = 120/247

Simplified Fraction

120/247

Mixed Number

Proper (120/247)

Decimal Value

0.48583

Percentage

48.583%

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Step-by-Step Solution: 1440/2964 = 120/247

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 2964: 1, 2, 3, 4, 6, 12, 13, 19, 26, 38, 39, 52, 57, 76, 78, 114

GCD(1440, 2964) = 12

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 12. Divide both the numerator (1440) and denominator (2964) by 12.

1440 ÷ 12/2964 ÷ 12 = 120/247

Visual Representation

The diagram below illustrates Simplify 1440/2964 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`120/247`
Mixed Number Form	`120/247`
Decimal Form	`0.48583`
Percentage	`48.583%`

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Frequently Asked Questions

What is 1440/2964 in simplest form?

1440/2964 simplified to lowest terms is 120/247.

What is the GCD (GCF) of 1440 and 2964?

The Greatest Common Divisor (GCD) of 1440 and 2964 is 12.

What are equivalent fractions to 1440/2964?

Equivalent fractions to 1440/2964 include 240/494, 360/741, and 480/988.