What is 1440/1340 Simplified? (Reduce 1440/1340 to Lowest Terms: 72/67)

Exact Answer

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Problem: Simplify 1440/1340 to Lowest Terms
Formula / Expression: 1440/1340 = 72/67
Final Answer: 1 5/67 (72/67)
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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 1340: 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340
Working: GCD(1440, 1340) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1440) and denominator (1340) by 20.
Working: 1440 ÷ 20/1340 ÷ 20 = 72/67

Step 3: Convert Improper Fraction to a Mixed Number
Because 72 is larger than 67, 72/67 can also be written as the mixed number 1 5/67.
Working: 72/67 = 1 5/67

Key Values:
- Simplified Fraction: 72/67
- Mixed Number Form: 1 5/67
- Decimal Value: 1.074627
- Percentage: 107.4627%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-1340/
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1440/1340 = 72/67

Simplified Fraction

72/67

Mixed Number

1 5/67

Decimal Value

1.074627

Percentage

107.4627%

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Step-by-Step Solution: 1440/1340 = 72/67

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 1340: 1, 2, 4, 5, 10, 20, 67, 134, 268, 335, 670, 1340

GCD(1440, 1340) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (1440) and denominator (1340) by 20.

1440 ÷ 20/1340 ÷ 20 = 72/67

Step 3

Convert Improper Fraction to a Mixed Number

Because 72 is larger than 67, 72/67 can also be written as the mixed number 1 5/67.

72/67 = 15/67

Visual Representation

The diagram below illustrates Simplify 1440/1340 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`72/67`
Mixed Number Form	`1 5/67`
Decimal Form	`1.074627`
Percentage	`107.4627%`

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Frequently Asked Questions

What is 1440/1340 in simplest form?

1440/1340 simplified to lowest terms is 72/67.

What is the GCD (GCF) of 1440 and 1340?

The Greatest Common Divisor (GCD) of 1440 and 1340 is 20.

What are equivalent fractions to 1440/1340?

Equivalent fractions to 1440/1340 include 144/134, 216/201, and 288/268.