What is 1440/5400 Simplified? (Reduce 1440/5400 to Lowest Terms: 4/15)

Exact Answer

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Problem: Simplify 1440/5400 to Lowest Terms
Formula / Expression: 1440/5400 = 4/15
Final Answer: 4/15
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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 5400: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27
Working: GCD(1440, 5400) = 360

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 360. Divide both the numerator (1440) and denominator (5400) by 360.
Working: 1440 ÷ 360/5400 ÷ 360 = 4/15

Key Values:
- Simplified Fraction: 4/15
- Mixed Number Form: 4/15
- Decimal Value: 0.266667
- Percentage: 26.6667%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-5400/
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1440/5400 = 4/15

Simplified Fraction

4/15

Mixed Number

Proper (4/15)

Decimal Value

0.266667

Percentage

26.6667%

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Step-by-Step Solution: 1440/5400 = 4/15

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 5400: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 27

GCD(1440, 5400) = 360

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 360. Divide both the numerator (1440) and denominator (5400) by 360.

1440 ÷ 360/5400 ÷ 360 = 4/15

Visual Representation

The diagram below illustrates Simplify 1440/5400 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`4/15`
Mixed Number Form	`4/15`
Decimal Form	`0.266667`
Percentage	`26.6667%`

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Frequently Asked Questions

What is 1440/5400 in simplest form?

1440/5400 simplified to lowest terms is 4/15.

What is the GCD (GCF) of 1440 and 5400?

The Greatest Common Divisor (GCD) of 1440 and 5400 is 360.

What are equivalent fractions to 1440/5400?

Equivalent fractions to 1440/5400 include 8/30, 12/45, and 16/60.