What is 1440/3350 Simplified? (Reduce 1440/3350 to Lowest Terms: 144/335)

Exact Answer

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Problem: Simplify 1440/3350 to Lowest Terms
Formula / Expression: 1440/3350 = 144/335
Final Answer: 144/335
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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 3350: 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350
Working: GCD(1440, 3350) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1440) and denominator (3350) by 10.
Working: 1440 ÷ 10/3350 ÷ 10 = 144/335

Key Values:
- Simplified Fraction: 144/335
- Mixed Number Form: 144/335
- Decimal Value: 0.429851
- Percentage: 42.9851%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-3350/
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1440/3350 = 144/335

Simplified Fraction

144/335

Mixed Number

Proper (144/335)

Decimal Value

0.429851

Percentage

42.9851%

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Step-by-Step Solution: 1440/3350 = 144/335

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 3350: 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350

GCD(1440, 3350) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (1440) and denominator (3350) by 10.

1440 ÷ 10/3350 ÷ 10 = 144/335

Visual Representation

The diagram below illustrates Simplify 1440/3350 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`144/335`
Mixed Number Form	`144/335`
Decimal Form	`0.429851`
Percentage	`42.9851%`

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Frequently Asked Questions

What is 1440/3350 in simplest form?

1440/3350 simplified to lowest terms is 144/335.

What is the GCD (GCF) of 1440 and 3350?

The Greatest Common Divisor (GCD) of 1440 and 3350 is 10.

What are equivalent fractions to 1440/3350?

Equivalent fractions to 1440/3350 include 288/670, 432/1005, and 576/1340.