What is 5472/4374 Simplified? (Reduce 5472/4374 to Lowest Terms: 304/243)

Exact Answer

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Problem: Simplify 5472/4374 to Lowest Terms
Formula / Expression: 5472/4374 = 304/243
Final Answer: 1 61/243 (304/243)
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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 4374: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374
Working: GCD(5472, 4374) = 18

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (5472) and denominator (4374) by 18.
Working: 5472 ÷ 18/4374 ÷ 18 = 304/243

Step 3: Convert Improper Fraction to a Mixed Number
Because 304 is larger than 243, 304/243 can also be written as the mixed number 1 61/243.
Working: 304/243 = 1 61/243

Key Values:
- Simplified Fraction: 304/243
- Mixed Number Form: 1 61/243
- Decimal Value: 1.251029
- Percentage: 125.1029%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-5472-4374/
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5472/4374 = 304/243

Simplified Fraction

304/243

Mixed Number

1 61/243

Decimal Value

1.251029

Percentage

125.1029%

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Step-by-Step Solution: 5472/4374 = 304/243

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 4374: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374

GCD(5472, 4374) = 18

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 18. Divide both the numerator (5472) and denominator (4374) by 18.

5472 ÷ 18/4374 ÷ 18 = 304/243

Step 3

Convert Improper Fraction to a Mixed Number

Because 304 is larger than 243, 304/243 can also be written as the mixed number 1 61/243.

304/243 = 161/243

Visual Representation

The diagram below illustrates Simplify 5472/4374 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`304/243`
Mixed Number Form	`1 61/243`
Decimal Form	`1.251029`
Percentage	`125.1029%`

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Frequently Asked Questions

What is 5472/4374 in simplest form?

5472/4374 simplified to lowest terms is 304/243.

What is the GCD (GCF) of 5472 and 4374?

The Greatest Common Divisor (GCD) of 5472 and 4374 is 18.

What are equivalent fractions to 5472/4374?

Equivalent fractions to 5472/4374 include 608/486, 912/729, and 1216/972.