Simplify 60/300 to Lowest Terms
60/300 simplified to its lowest terms is 1/5 (or 0.2 in decimal). See how to reduce 60/300 using Greatest Common Divisor (GCD = 60).
Exact Answer
60/300 = 1/5
Simplified Fraction
1/5
Mixed Number
Proper (1/5)
Decimal Value
0.2
Percentage
20%
Step-by-Step Solution: 60/300 = 1/5
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 300:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
GCD(60, 300) = 60
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 60. Divide both the numerator (60) and denominator (300) by 60.
60 ÷ 60/300 ÷ 60 = 1/5
Visual Representation
The diagram below illustrates Simplify 60/300 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 60/300 in simplest form?
60/300 simplified to lowest terms is 1/5.
What is the GCD (GCF) of 60 and 300?
The Greatest Common Divisor (GCD) of 60 and 300 is 60.
What are equivalent fractions to 60/300?
Equivalent fractions to 60/300 include 2/10, 3/15, and 4/20.