What is 1440/5388 Simplified? (Reduce 1440/5388 to Lowest Terms: 120/449)

Exact Answer

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Problem: Simplify 1440/5388 to Lowest Terms
Formula / Expression: 1440/5388 = 120/449
Final Answer: 120/449
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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 5388: 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388
Working: GCD(1440, 5388) = 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 (5388) by 12.
Working: 1440 ÷ 12/5388 ÷ 12 = 120/449

Key Values:
- Simplified Fraction: 120/449
- Mixed Number Form: 120/449
- Decimal Value: 0.267261
- Percentage: 26.7261%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-5388/
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1440/5388 = 120/449

Simplified Fraction

120/449

Mixed Number

Proper (120/449)

Decimal Value

0.267261

Percentage

26.7261%

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Step-by-Step Solution: 1440/5388 = 120/449

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 5388: 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388

GCD(1440, 5388) = 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 (5388) by 12.

1440 ÷ 12/5388 ÷ 12 = 120/449

Visual Representation

The diagram below illustrates Simplify 1440/5388 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`120/449`
Mixed Number Form	`120/449`
Decimal Form	`0.267261`
Percentage	`26.7261%`

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Frequently Asked Questions

What is 1440/5388 in simplest form?

1440/5388 simplified to lowest terms is 120/449.

What is the GCD (GCF) of 1440 and 5388?

The Greatest Common Divisor (GCD) of 1440 and 5388 is 12.

What are equivalent fractions to 1440/5388?

Equivalent fractions to 1440/5388 include 240/898, 360/1347, and 480/1796.