What is 1440/1324 Simplified? (Reduce 1440/1324 to Lowest Terms: 360/331)

Exact Answer

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Problem: Simplify 1440/1324 to Lowest Terms
Formula / Expression: 1440/1324 = 360/331
Final Answer: 1 29/331 (360/331)
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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 1440: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30
• Factors of 1324: 1, 2, 4, 331, 662, 1324
Working: GCD(1440, 1324) = 4

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1440) and denominator (1324) by 4.
Working: 1440 ÷ 4/1324 ÷ 4 = 360/331

Step 3: Convert Improper Fraction to a Mixed Number
Because 360 is larger than 331, 360/331 can also be written as the mixed number 1 29/331.
Working: 360/331 = 1 29/331

Key Values:
- Simplified Fraction: 360/331
- Mixed Number Form: 1 29/331
- Decimal Value: 1.087613
- Percentage: 108.7613%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-1324/
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1440/1324 = 360/331

Simplified Fraction

360/331

Mixed Number

1 29/331

Decimal Value

1.087613

Percentage

108.7613%

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Step-by-Step Solution: 1440/1324 = 360/331

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 1324: 1, 2, 4, 331, 662, 1324

GCD(1440, 1324) = 4

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 4. Divide both the numerator (1440) and denominator (1324) by 4.

1440 ÷ 4/1324 ÷ 4 = 360/331

Step 3

Convert Improper Fraction to a Mixed Number

Because 360 is larger than 331, 360/331 can also be written as the mixed number 1 29/331.

360/331 = 129/331

Visual Representation

The diagram below illustrates Simplify 1440/1324 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`360/331`
Mixed Number Form	`1 29/331`
Decimal Form	`1.087613`
Percentage	`108.7613%`

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Frequently Asked Questions

What is 1440/1324 in simplest form?

1440/1324 simplified to lowest terms is 360/331.

What is the GCD (GCF) of 1440 and 1324?

The Greatest Common Divisor (GCD) of 1440 and 1324 is 4.

What are equivalent fractions to 1440/1324?

Equivalent fractions to 1440/1324 include 720/662, 1080/993, and 1440/1324.