What is 100/90 Simplified? (Reduce 100/90 to Lowest Terms: 10/9)

Exact Answer

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Problem: Simplify 100/90 to Lowest Terms
Formula / Expression: 100/90 = 10/9
Final Answer: 1 1/9 (10/9)
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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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Working: GCD(100, 90) = 10

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 10. Divide both the numerator (100) and denominator (90) by 10.
Working: 100 ÷ 10/90 ÷ 10 = 10/9

Step 3: Convert Improper Fraction to a Mixed Number
Because 10 is larger than 9, 10/9 can also be written as the mixed number 1 1/9.
Working: 10/9 = 1 1/9

Key Values:
- Simplified Fraction: 10/9
- Mixed Number Form: 1 1/9
- Decimal Value: 1.111111
- Percentage: 111.1111%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-100-90/
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100/90 = 10/9

Simplified Fraction

10/9

Mixed Number

1 1/9

Decimal Value

1.111111

Percentage

111.1111%

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Step-by-Step Solution: 100/90 = 10/9

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 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

GCD(100, 90) = 10

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 10. Divide both the numerator (100) and denominator (90) by 10.

100 ÷ 10/90 ÷ 10 = 10/9

Step 3

Convert Improper Fraction to a Mixed Number

Because 10 is larger than 9, 10/9 can also be written as the mixed number 1 1/9.

10/9 = 11/9

Visual Representation

The diagram below illustrates Simplify 100/90 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`10/9`
Mixed Number Form	`1 1/9`
Decimal Form	`1.111111`
Percentage	`111.1111%`

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Frequently Asked Questions

What is 100/90 in simplest form?

100/90 simplified to lowest terms is 10/9.

What is the GCD (GCF) of 100 and 90?

The Greatest Common Divisor (GCD) of 100 and 90 is 10.

What are equivalent fractions to 100/90?

Equivalent fractions to 100/90 include 20/18, 30/27, and 40/36.