What is 60/58 Simplified? (Reduce 60/58 to Lowest Terms: 30/29)

Exact Answer

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Problem: Simplify 60/58 to Lowest Terms
Formula / Expression: 60/58 = 30/29
Final Answer: 1 1/29 (30/29)
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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 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
• Factors of 58: 1, 2, 29, 58
Working: GCD(60, 58) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (60) and denominator (58) by 2.
Working: 60 ÷ 2/58 ÷ 2 = 30/29

Step 3: Convert Improper Fraction to a Mixed Number
Because 30 is larger than 29, 30/29 can also be written as the mixed number 1 1/29.
Working: 30/29 = 1 1/29

Key Values:
- Simplified Fraction: 30/29
- Mixed Number Form: 1 1/29
- Decimal Value: 1.034483
- Percentage: 103.4483%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-60-58/
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60/58 = 30/29

Simplified Fraction

30/29

Mixed Number

1 1/29

Decimal Value

1.034483

Percentage

103.4483%

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Step-by-Step Solution: 60/58 = 30/29

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
• Factors of 58: 1, 2, 29, 58

GCD(60, 58) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (60) and denominator (58) by 2.

60 ÷ 2/58 ÷ 2 = 30/29

Step 3

Convert Improper Fraction to a Mixed Number

Because 30 is larger than 29, 30/29 can also be written as the mixed number 1 1/29.

30/29 = 11/29

Visual Representation

The diagram below illustrates Simplify 60/58 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`30/29`
Mixed Number Form	`1 1/29`
Decimal Form	`1.034483`
Percentage	`103.4483%`

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Frequently Asked Questions

What is 60/58 in simplest form?

60/58 simplified to lowest terms is 30/29.

What is the GCD (GCF) of 60 and 58?

The Greatest Common Divisor (GCD) of 60 and 58 is 2.

What are equivalent fractions to 60/58?

Equivalent fractions to 60/58 include 60/58, 90/87, and 120/116.