Simplify 36/120 to Lowest Terms
36/120 simplified to its lowest terms is 3/10 (or 0.3 in decimal). See how to reduce 36/120 using Greatest Common Divisor (GCD = 12).
Exact Answer
36/120 = 3/10
Simplified Fraction
3/10
Mixed Number
Proper (3/10)
Decimal Value
0.3
Percentage
30%
Step-by-Step Solution: 36/120 = 3/10
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 36:
• Factors of 120:
• Factors of 36:
1, 2, 3, 4, 6, 9, 12, 18, 36• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(36, 120) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (36) and denominator (120) by 12.
36 ÷ 12/120 ÷ 12 = 3/10
Visual Representation
The diagram below illustrates Simplify 36/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/10 |
| Mixed Number Form | 3/10 |
| Decimal Form | 0.3 |
| Percentage | 30% |
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Frequently Asked Questions
What is 36/120 in simplest form?
36/120 simplified to lowest terms is 3/10.
What is the GCD (GCF) of 36 and 120?
The Greatest Common Divisor (GCD) of 36 and 120 is 12.
What are equivalent fractions to 36/120?
Equivalent fractions to 36/120 include 6/20, 9/30, and 12/40.