What is 1440/1464 Simplified? (Reduce 1440/1464 to Lowest Terms: 60/61)

Exact Answer

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Problem: Simplify 1440/1464 to Lowest Terms
Formula / Expression: 1440/1464 = 60/61
Final Answer: 60/61
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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 1464: 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464
Working: GCD(1440, 1464) = 24

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1440) and denominator (1464) by 24.
Working: 1440 ÷ 24/1464 ÷ 24 = 60/61

Key Values:
- Simplified Fraction: 60/61
- Mixed Number Form: 60/61
- Decimal Value: 0.983607
- Percentage: 98.3607%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1440-1464/
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1440/1464 = 60/61

Simplified Fraction

60/61

Mixed Number

Proper (60/61)

Decimal Value

0.983607

Percentage

98.3607%

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Step-by-Step Solution: 1440/1464 = 60/61

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 1464: 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464

GCD(1440, 1464) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1440) and denominator (1464) by 24.

1440 ÷ 24/1464 ÷ 24 = 60/61

Visual Representation

The diagram below illustrates Simplify 1440/1464 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`60/61`
Mixed Number Form	`60/61`
Decimal Form	`0.983607`
Percentage	`98.3607%`

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Frequently Asked Questions

What is 1440/1464 in simplest form?

1440/1464 simplified to lowest terms is 60/61.

What is the GCD (GCF) of 1440 and 1464?

The Greatest Common Divisor (GCD) of 1440 and 1464 is 24.

What are equivalent fractions to 1440/1464?

Equivalent fractions to 1440/1464 include 120/122, 180/183, and 240/244.