Simplify 90/216 to Lowest Terms
90/216 simplified to its lowest terms is 5/12 (or 0.416667 in decimal). See how to reduce 90/216 using Greatest Common Divisor (GCD = 18).
Exact Answer
90/216 = 5/12
Simplified Fraction
5/12
Mixed Number
Proper (5/12)
Decimal Value
0.416667
Percentage
41.6667%
Step-by-Step Solution: 90/216 = 5/12
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 90:
• Factors of 216:
• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90• Factors of 216:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD(90, 216) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (90) and denominator (216) by 18.
90 ÷ 18/216 ÷ 18 = 5/12
Visual Representation
The diagram below illustrates Simplify 90/216 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 5/12 |
| Mixed Number Form | 5/12 |
| Decimal Form | 0.416667 |
| Percentage | 41.6667% |
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Frequently Asked Questions
What is 90/216 in simplest form?
90/216 simplified to lowest terms is 5/12.
What is the GCD (GCF) of 90 and 216?
The Greatest Common Divisor (GCD) of 90 and 216 is 18.
What are equivalent fractions to 90/216?
Equivalent fractions to 90/216 include 10/24, 15/36, and 20/48.