What is 80/74 Simplified? (Reduce 80/74 to Lowest Terms: 40/37)

Exact Answer

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Problem: Simplify 80/74 to Lowest Terms
Formula / Expression: 80/74 = 40/37
Final Answer: 1 3/37 (40/37)
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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 74: 1, 2, 37, 74
Working: GCD(80, 74) = 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 (74) by 2.
Working: 80 ÷ 2/74 ÷ 2 = 40/37

Step 3: Convert Improper Fraction to a Mixed Number
Because 40 is larger than 37, 40/37 can also be written as the mixed number 1 3/37.
Working: 40/37 = 1 3/37

Key Values:
- Simplified Fraction: 40/37
- Mixed Number Form: 1 3/37
- Decimal Value: 1.081081
- Percentage: 108.1081%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-80-74/
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80/74 = 40/37

Simplified Fraction

40/37

Mixed Number

1 3/37

Decimal Value

1.081081

Percentage

108.1081%

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Step-by-Step Solution: 80/74 = 40/37

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 74: 1, 2, 37, 74

GCD(80, 74) = 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 (74) by 2.

80 ÷ 2/74 ÷ 2 = 40/37

Step 3

Convert Improper Fraction to a Mixed Number

Because 40 is larger than 37, 40/37 can also be written as the mixed number 1 3/37.

40/37 = 13/37

Visual Representation

The diagram below illustrates Simplify 80/74 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`40/37`
Mixed Number Form	`1 3/37`
Decimal Form	`1.081081`
Percentage	`108.1081%`

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Frequently Asked Questions

What is 80/74 in simplest form?

80/74 simplified to lowest terms is 40/37.

What is the GCD (GCF) of 80 and 74?

The Greatest Common Divisor (GCD) of 80 and 74 is 2.

What are equivalent fractions to 80/74?

Equivalent fractions to 80/74 include 80/74, 120/111, and 160/148.