Simplify 36/90 to Lowest Terms
36/90 simplified to its lowest terms is 2/5 (or 0.4 in decimal). See how to reduce 36/90 using Greatest Common Divisor (GCD = 18).
Exact Answer
36/90 = 2/5
Simplified Fraction
2/5
Mixed Number
Proper (2/5)
Decimal Value
0.4
Percentage
40%
Step-by-Step Solution: 36/90 = 2/5
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 36:
• Factors of 90:
• Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36• Factors of 90:
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCD(36, 90) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (36) and denominator (90) by 18.
36 ÷ 18/90 ÷ 18 = 2/5
Visual Representation
The diagram below illustrates Simplify 36/90 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/5 |
| Mixed Number Form | 2/5 |
| Decimal Form | 0.4 |
| Percentage | 40% |
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Frequently Asked Questions
What is 36/90 in simplest form?
36/90 simplified to lowest terms is 2/5.
What is the GCD (GCF) of 36 and 90?
The Greatest Common Divisor (GCD) of 36 and 90 is 18.
What are equivalent fractions to 36/90?
Equivalent fractions to 36/90 include 4/10, 6/15, and 8/20.