What is 80/58 Simplified? (Reduce 80/58 to Lowest Terms: 40/29)

Exact Answer

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Problem: Simplify 80/58 to Lowest Terms
Formula / Expression: 80/58 = 40/29
Final Answer: 1 11/29 (40/29)
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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 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 58: 1, 2, 29, 58
Working: GCD(80, 58) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (80) and denominator (58) by 2.
Working: 80 ÷ 2/58 ÷ 2 = 40/29

Step 3: Convert Improper Fraction to a Mixed Number
Because 40 is larger than 29, 40/29 can also be written as the mixed number 1 11/29.
Working: 40/29 = 1 11/29

Key Values:
- Simplified Fraction: 40/29
- Mixed Number Form: 1 11/29
- Decimal Value: 1.37931
- Percentage: 137.931%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-80-58/
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80/58 = 40/29

Simplified Fraction

40/29

Mixed Number

1 11/29

Decimal Value

1.37931

Percentage

137.931%

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Step-by-Step Solution: 80/58 = 40/29

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• Factors of 58: 1, 2, 29, 58

GCD(80, 58) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (80) and denominator (58) by 2.

80 ÷ 2/58 ÷ 2 = 40/29

Step 3

Convert Improper Fraction to a Mixed Number

Because 40 is larger than 29, 40/29 can also be written as the mixed number 1 11/29.

40/29 = 111/29

Visual Representation

The diagram below illustrates Simplify 80/58 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`40/29`
Mixed Number Form	`1 11/29`
Decimal Form	`1.37931`
Percentage	`137.931%`

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Frequently Asked Questions

What is 80/58 in simplest form?

80/58 simplified to lowest terms is 40/29.

What is the GCD (GCF) of 80 and 58?

The Greatest Common Divisor (GCD) of 80 and 58 is 2.

What are equivalent fractions to 80/58?

Equivalent fractions to 80/58 include 80/58, 120/87, and 160/116.