What is 330/1464 Simplified? (Reduce 330/1464 to Lowest Terms: 55/244)

Exact Answer

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Problem: Simplify 330/1464 to Lowest Terms
Formula / Expression: 330/1464 = 55/244
Final Answer: 55/244
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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 330: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
• Factors of 1464: 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464
Working: GCD(330, 1464) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (330) and denominator (1464) by 6.
Working: 330 ÷ 6/1464 ÷ 6 = 55/244

Key Values:
- Simplified Fraction: 55/244
- Mixed Number Form: 55/244
- Decimal Value: 0.22541
- Percentage: 22.541%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-330-1464/
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330/1464 = 55/244

Simplified Fraction

55/244

Mixed Number

Proper (55/244)

Decimal Value

0.22541

Percentage

22.541%

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Step-by-Step Solution: 330/1464 = 55/244

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 330: 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
• Factors of 1464: 1, 2, 3, 4, 6, 8, 12, 24, 61, 122, 183, 244, 366, 488, 732, 1464

GCD(330, 1464) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (330) and denominator (1464) by 6.

330 ÷ 6/1464 ÷ 6 = 55/244

Visual Representation

The diagram below illustrates Simplify 330/1464 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`55/244`
Mixed Number Form	`55/244`
Decimal Form	`0.22541`
Percentage	`22.541%`

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Frequently Asked Questions

What is 330/1464 in simplest form?

330/1464 simplified to lowest terms is 55/244.

What is the GCD (GCF) of 330 and 1464?

The Greatest Common Divisor (GCD) of 330 and 1464 is 6.

What are equivalent fractions to 330/1464?

Equivalent fractions to 330/1464 include 110/488, 165/732, and 220/976.