Simplify 30/150 to Lowest Terms
30/150 simplified to its lowest terms is 1/5 (or 0.2 in decimal). See how to reduce 30/150 using Greatest Common Divisor (GCD = 30).
Exact Answer
30/150 = 1/5
Simplified Fraction
1/5
Mixed Number
Proper (1/5)
Decimal Value
0.2
Percentage
20%
Step-by-Step Solution: 30/150 = 1/5
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 30:
• Factors of 150:
• Factors of 30:
1, 2, 3, 5, 6, 10, 15, 30• Factors of 150:
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD(30, 150) = 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 (150) by 30.
30 ÷ 30/150 ÷ 30 = 1/5
Visual Representation
The diagram below illustrates Simplify 30/150 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 1/5 |
| Mixed Number Form | 1/5 |
| Decimal Form | 0.2 |
| Percentage | 20% |
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Frequently Asked Questions
What is 30/150 in simplest form?
30/150 simplified to lowest terms is 1/5.
What is the GCD (GCF) of 30 and 150?
The Greatest Common Divisor (GCD) of 30 and 150 is 30.
What are equivalent fractions to 30/150?
Equivalent fractions to 30/150 include 2/10, 3/15, and 4/20.