What is 58/52 Simplified? (Reduce 58/52 to Lowest Terms: 29/26)

Exact Answer

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Problem: Simplify 58/52 to Lowest Terms
Formula / Expression: 58/52 = 29/26
Final Answer: 1 3/26 (29/26)
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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 58: 1, 2, 29, 58
• Factors of 52: 1, 2, 4, 13, 26, 52
Working: GCD(58, 52) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (58) and denominator (52) by 2.
Working: 58 ÷ 2/52 ÷ 2 = 29/26

Step 3: Convert Improper Fraction to a Mixed Number
Because 29 is larger than 26, 29/26 can also be written as the mixed number 1 3/26.
Working: 29/26 = 1 3/26

Key Values:
- Simplified Fraction: 29/26
- Mixed Number Form: 1 3/26
- Decimal Value: 1.115385
- Percentage: 111.5385%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-58-52/
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58/52 = 29/26

Simplified Fraction

29/26

Mixed Number

1 3/26

Decimal Value

1.115385

Percentage

111.5385%

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Step-by-Step Solution: 58/52 = 29/26

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 58: 1, 2, 29, 58
• Factors of 52: 1, 2, 4, 13, 26, 52

GCD(58, 52) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (58) and denominator (52) by 2.

58 ÷ 2/52 ÷ 2 = 29/26

Step 3

Convert Improper Fraction to a Mixed Number

Because 29 is larger than 26, 29/26 can also be written as the mixed number 1 3/26.

29/26 = 13/26

Visual Representation

The diagram below illustrates Simplify 58/52 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`29/26`
Mixed Number Form	`1 3/26`
Decimal Form	`1.115385`
Percentage	`111.5385%`

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Frequently Asked Questions

What is 58/52 in simplest form?

58/52 simplified to lowest terms is 29/26.

What is the GCD (GCF) of 58 and 52?

The Greatest Common Divisor (GCD) of 58 and 52 is 2.

What are equivalent fractions to 58/52?

Equivalent fractions to 58/52 include 58/52, 87/78, and 116/104.