Simplify 30/120 to Lowest Terms
30/120 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 30/120 using Greatest Common Divisor (GCD = 30).
Exact Answer
30/120 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 30/120 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 120:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(30, 120) = 30
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 30. Divide both the numerator (30) and denominator (120) by 30.
30 ÷ 30/120 ÷ 30 = 1/4
Visual Representation
The diagram below illustrates Simplify 30/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/4 |
| Mixed Number Form | 1/4 |
| Decimal Form | 0.25 |
| Percentage | 25% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 30/120 in simplest form?
30/120 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 30 and 120?
The Greatest Common Divisor (GCD) of 30 and 120 is 30.
What are equivalent fractions to 30/120?
Equivalent fractions to 30/120 include 2/8, 3/12, and 4/16.