What is 54/52 Simplified? (Reduce 54/52 to Lowest Terms: 27/26)

Exact Answer

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Problem: Simplify 54/52 to Lowest Terms
Formula / Expression: 54/52 = 27/26
Final Answer: 1 1/26 (27/26)
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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 54: 1, 2, 3, 6, 9, 18, 27, 54
• Factors of 52: 1, 2, 4, 13, 26, 52
Working: GCD(54, 52) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (54) and denominator (52) by 2.
Working: 54 ÷ 2/52 ÷ 2 = 27/26

Step 3: Convert Improper Fraction to a Mixed Number
Because 27 is larger than 26, 27/26 can also be written as the mixed number 1 1/26.
Working: 27/26 = 1 1/26

Key Values:
- Simplified Fraction: 27/26
- Mixed Number Form: 1 1/26
- Decimal Value: 1.038462
- Percentage: 103.8462%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-54-52/
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54/52 = 27/26

Simplified Fraction

27/26

Mixed Number

1 1/26

Decimal Value

1.038462

Percentage

103.8462%

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Step-by-Step Solution: 54/52 = 27/26

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 54: 1, 2, 3, 6, 9, 18, 27, 54
• Factors of 52: 1, 2, 4, 13, 26, 52

GCD(54, 52) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (54) and denominator (52) by 2.

54 ÷ 2/52 ÷ 2 = 27/26

Step 3

Convert Improper Fraction to a Mixed Number

Because 27 is larger than 26, 27/26 can also be written as the mixed number 1 1/26.

27/26 = 11/26

Visual Representation

The diagram below illustrates Simplify 54/52 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`27/26`
Mixed Number Form	`1 1/26`
Decimal Form	`1.038462`
Percentage	`103.8462%`

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Frequently Asked Questions

What is 54/52 in simplest form?

54/52 simplified to lowest terms is 27/26.

What is the GCD (GCF) of 54 and 52?

The Greatest Common Divisor (GCD) of 54 and 52 is 2.

What are equivalent fractions to 54/52?

Equivalent fractions to 54/52 include 54/52, 81/78, and 108/104.