Simplify 36/144 to Lowest Terms
36/144 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 36/144 using Greatest Common Divisor (GCD = 36).
Exact Answer
36/144 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 36/144 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 36:
• Factors of 144:
• Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36• Factors of 144:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD(36, 144) = 36
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 36. Divide both the numerator (36) and denominator (144) by 36.
36 ÷ 36/144 ÷ 36 = 1/4
Visual Representation
The diagram below illustrates Simplify 36/144 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
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Frequently Asked Questions
What is 36/144 in simplest form?
36/144 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 36 and 144?
The Greatest Common Divisor (GCD) of 36 and 144 is 36.
What are equivalent fractions to 36/144?
Equivalent fractions to 36/144 include 2/8, 3/12, and 4/16.