What is 100/80 Simplified? (Reduce 100/80 to Lowest Terms: 5/4)

Exact Answer

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Problem: Simplify 100/80 to Lowest Terms
Formula / Expression: 100/80 = 5/4
Final Answer: 1 1/4 (5/4)
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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 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Working: GCD(100, 80) = 20

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 20. Divide both the numerator (100) and denominator (80) by 20.
Working: 100 ÷ 20/80 ÷ 20 = 5/4

Step 3: Convert Improper Fraction to a Mixed Number
Because 5 is larger than 4, 5/4 can also be written as the mixed number 1 1/4.
Working: 5/4 = 1 1/4

Key Values:
- Simplified Fraction: 5/4
- Mixed Number Form: 1 1/4
- Decimal Value: 1.25
- Percentage: 125%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-100-80/
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100/80 = 5/4

Simplified Fraction

5/4

Mixed Number

1 1/4

Decimal Value

1.25

Percentage

125%

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Step-by-Step Solution: 100/80 = 5/4

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
• Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

GCD(100, 80) = 20

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 20. Divide both the numerator (100) and denominator (80) by 20.

100 ÷ 20/80 ÷ 20 = 5/4

Step 3

Convert Improper Fraction to a Mixed Number

Because 5 is larger than 4, 5/4 can also be written as the mixed number 1 1/4.

5/4 = 11/4

Visual Representation

The diagram below illustrates Simplify 100/80 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`5/4`
Mixed Number Form	`1 1/4`
Decimal Form	`1.25`
Percentage	`125%`

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Frequently Asked Questions

What is 100/80 in simplest form?

100/80 simplified to lowest terms is 5/4.

What is the GCD (GCF) of 100 and 80?

The Greatest Common Divisor (GCD) of 100 and 80 is 20.

What are equivalent fractions to 100/80?

Equivalent fractions to 100/80 include 10/8, 15/12, and 20/16.