What is 552/438 Simplified? (Reduce 552/438 to Lowest Terms: 92/73)

Exact Answer

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Problem: Simplify 552/438 to Lowest Terms
Formula / Expression: 552/438 = 92/73
Final Answer: 1 19/73 (92/73)
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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 552: 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
• Factors of 438: 1, 2, 3, 6, 73, 146, 219, 438
Working: GCD(552, 438) = 6

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (552) and denominator (438) by 6.
Working: 552 ÷ 6/438 ÷ 6 = 92/73

Step 3: Convert Improper Fraction to a Mixed Number
Because 92 is larger than 73, 92/73 can also be written as the mixed number 1 19/73.
Working: 92/73 = 1 19/73

Key Values:
- Simplified Fraction: 92/73
- Mixed Number Form: 1 19/73
- Decimal Value: 1.260274
- Percentage: 126.0274%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-552-438/
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552/438 = 92/73

Simplified Fraction

92/73

Mixed Number

1 19/73

Decimal Value

1.260274

Percentage

126.0274%

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Step-by-Step Solution: 552/438 = 92/73

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 552: 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
• Factors of 438: 1, 2, 3, 6, 73, 146, 219, 438

GCD(552, 438) = 6

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 6. Divide both the numerator (552) and denominator (438) by 6.

552 ÷ 6/438 ÷ 6 = 92/73

Step 3

Convert Improper Fraction to a Mixed Number

Because 92 is larger than 73, 92/73 can also be written as the mixed number 1 19/73.

92/73 = 119/73

Visual Representation

The diagram below illustrates Simplify 552/438 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`92/73`
Mixed Number Form	`1 19/73`
Decimal Form	`1.260274`
Percentage	`126.0274%`

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Frequently Asked Questions

What is 552/438 in simplest form?

552/438 simplified to lowest terms is 92/73.

What is the GCD (GCF) of 552 and 438?

The Greatest Common Divisor (GCD) of 552 and 438 is 6.

What are equivalent fractions to 552/438?

Equivalent fractions to 552/438 include 184/146, 276/219, and 368/292.