Simplify 90/204 to Lowest Terms
90/204 simplified to its lowest terms is 15/34 (or 0.441176 in decimal). See how to reduce 90/204 using Greatest Common Divisor (GCD = 6).
Exact Answer
90/204 = 15/34
Simplified Fraction
15/34
Mixed Number
Proper (15/34)
Decimal Value
0.441176
Percentage
44.1176%
Step-by-Step Solution: 90/204 = 15/34
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 90:
• Factors of 204:
• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90• Factors of 204:
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
GCD(90, 204) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (90) and denominator (204) by 6.
90 ÷ 6/204 ÷ 6 = 15/34
Visual Representation
The diagram below illustrates Simplify 90/204 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 15/34 |
| Mixed Number Form | 15/34 |
| Decimal Form | 0.441176 |
| Percentage | 44.1176% |
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Frequently Asked Questions
What is 90/204 in simplest form?
90/204 simplified to lowest terms is 15/34.
What is the GCD (GCF) of 90 and 204?
The Greatest Common Divisor (GCD) of 90 and 204 is 6.
What are equivalent fractions to 90/204?
Equivalent fractions to 90/204 include 30/68, 45/102, and 60/136.