What is 440/1152 Simplified? (Reduce 440/1152 to Lowest Terms: 55/144)

Exact Answer

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Problem: Simplify 440/1152 to Lowest Terms
Formula / Expression: 440/1152 = 55/144
Final Answer: 55/144
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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 440: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
• Factors of 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72
Working: GCD(440, 1152) = 8

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (440) and denominator (1152) by 8.
Working: 440 ÷ 8/1152 ÷ 8 = 55/144

Key Values:
- Simplified Fraction: 55/144
- Mixed Number Form: 55/144
- Decimal Value: 0.381944
- Percentage: 38.1944%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-440-1152/
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440/1152 = 55/144

Simplified Fraction

55/144

Mixed Number

Proper (55/144)

Decimal Value

0.381944

Percentage

38.1944%

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Step-by-Step Solution: 440/1152 = 55/144

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 440: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
• Factors of 1152: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72

GCD(440, 1152) = 8

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 8. Divide both the numerator (440) and denominator (1152) by 8.

440 ÷ 8/1152 ÷ 8 = 55/144

Visual Representation

The diagram below illustrates Simplify 440/1152 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`55/144`
Mixed Number Form	`55/144`
Decimal Form	`0.381944`
Percentage	`38.1944%`

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Frequently Asked Questions

What is 440/1152 in simplest form?

440/1152 simplified to lowest terms is 55/144.

What is the GCD (GCF) of 440 and 1152?

The Greatest Common Divisor (GCD) of 440 and 1152 is 8.

What are equivalent fractions to 440/1152?

Equivalent fractions to 440/1152 include 110/288, 165/432, and 220/576.