What is 1440/3402 Simplified? (Reduce 1440/3402 to Lowest Terms: 80/189)

Exact Answer

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Problem: Simplify 1440/3402 to Lowest Terms
Formula / Expression: 1440/3402 = 80/189
Final Answer: 80/189
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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 3402: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162
Working: GCD(1440, 3402) = 18

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (1440) and denominator (3402) by 18.
Working: 1440 ÷ 18/3402 ÷ 18 = 80/189

Key Values:
- Simplified Fraction: 80/189
- Mixed Number Form: 80/189
- Decimal Value: 0.42328
- Percentage: 42.328%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-3402/
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1440/3402 = 80/189

Simplified Fraction

80/189

Mixed Number

Proper (80/189)

Decimal Value

0.42328

Percentage

42.328%

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Step-by-Step Solution: 1440/3402 = 80/189

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 3402: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 81, 126, 162

GCD(1440, 3402) = 18

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 18. Divide both the numerator (1440) and denominator (3402) by 18.

1440 ÷ 18/3402 ÷ 18 = 80/189

Visual Representation

The diagram below illustrates Simplify 1440/3402 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`80/189`
Mixed Number Form	`80/189`
Decimal Form	`0.42328`
Percentage	`42.328%`

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Frequently Asked Questions

What is 1440/3402 in simplest form?

1440/3402 simplified to lowest terms is 80/189.

What is the GCD (GCF) of 1440 and 3402?

The Greatest Common Divisor (GCD) of 1440 and 3402 is 18.

What are equivalent fractions to 1440/3402?

Equivalent fractions to 1440/3402 include 160/378, 240/567, and 320/756.