What is 5472/4408 Simplified? (Reduce 5472/4408 to Lowest Terms: 36/29)

Exact Answer

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Problem: Simplify 5472/4408 to Lowest Terms
Formula / Expression: 5472/4408 = 36/29
Final Answer: 1 7/29 (36/29)
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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 5472: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48
• Factors of 4408: 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408
Working: GCD(5472, 4408) = 152

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 152. Divide both the numerator (5472) and denominator (4408) by 152.
Working: 5472 ÷ 152/4408 ÷ 152 = 36/29

Step 3: Convert Improper Fraction to a Mixed Number
Because 36 is larger than 29, 36/29 can also be written as the mixed number 1 7/29.
Working: 36/29 = 1 7/29

Key Values:
- Simplified Fraction: 36/29
- Mixed Number Form: 1 7/29
- Decimal Value: 1.241379
- Percentage: 124.1379%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-5472-4408/
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5472/4408 = 36/29

Simplified Fraction

36/29

Mixed Number

1 7/29

Decimal Value

1.241379

Percentage

124.1379%

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Step-by-Step Solution: 5472/4408 = 36/29

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 5472: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 32, 36, 38, 48
• Factors of 4408: 1, 2, 4, 8, 19, 29, 38, 58, 76, 116, 152, 232, 551, 1102, 2204, 4408

GCD(5472, 4408) = 152

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 152. Divide both the numerator (5472) and denominator (4408) by 152.

5472 ÷ 152/4408 ÷ 152 = 36/29

Step 3

Convert Improper Fraction to a Mixed Number

Because 36 is larger than 29, 36/29 can also be written as the mixed number 1 7/29.

36/29 = 17/29

Visual Representation

The diagram below illustrates Simplify 5472/4408 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`36/29`
Mixed Number Form	`1 7/29`
Decimal Form	`1.241379`
Percentage	`124.1379%`

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Frequently Asked Questions

What is 5472/4408 in simplest form?

5472/4408 simplified to lowest terms is 36/29.

What is the GCD (GCF) of 5472 and 4408?

The Greatest Common Divisor (GCD) of 5472 and 4408 is 152.

What are equivalent fractions to 5472/4408?

Equivalent fractions to 5472/4408 include 72/58, 108/87, and 144/116.