What is 1320/1728 Simplified? (Reduce 1320/1728 to Lowest Terms: 55/72)

Exact Answer

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Problem: Simplify 1320/1728 to Lowest Terms
Formula / Expression: 1320/1728 = 55/72
Final Answer: 55/72
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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 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33
• Factors of 1728: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54
Working: GCD(1320, 1728) = 24

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1320) and denominator (1728) by 24.
Working: 1320 ÷ 24/1728 ÷ 24 = 55/72

Key Values:
- Simplified Fraction: 55/72
- Mixed Number Form: 55/72
- Decimal Value: 0.763889
- Percentage: 76.3889%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-1320-1728/
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1320/1728 = 55/72

Simplified Fraction

55/72

Mixed Number

Proper (55/72)

Decimal Value

0.763889

Percentage

76.3889%

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Step-by-Step Solution: 1320/1728 = 55/72

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33
• Factors of 1728: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54

GCD(1320, 1728) = 24

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 24. Divide both the numerator (1320) and denominator (1728) by 24.

1320 ÷ 24/1728 ÷ 24 = 55/72

Visual Representation

The diagram below illustrates Simplify 1320/1728 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`55/72`
Mixed Number Form	`55/72`
Decimal Form	`0.763889`
Percentage	`76.3889%`

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Frequently Asked Questions

What is 1320/1728 in simplest form?

1320/1728 simplified to lowest terms is 55/72.

What is the GCD (GCF) of 1320 and 1728?

The Greatest Common Divisor (GCD) of 1320 and 1728 is 24.

What are equivalent fractions to 1320/1728?

Equivalent fractions to 1320/1728 include 110/144, 165/216, and 220/288.