Simplify 60/240 to Lowest Terms
60/240 simplified to its lowest terms is 1/4 (or 0.25 in decimal). See how to reduce 60/240 using Greatest Common Divisor (GCD = 60).
Exact Answer
60/240 = 1/4
Simplified Fraction
1/4
Mixed Number
Proper (1/4)
Decimal Value
0.25
Percentage
25%
Step-by-Step Solution: 60/240 = 1/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 60:
• Factors of 240:
• Factors of 60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(60, 240) = 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 (240) by 60.
60 ÷ 60/240 ÷ 60 = 1/4
Visual Representation
The diagram below illustrates Simplify 60/240 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 60/240 in simplest form?
60/240 simplified to lowest terms is 1/4.
What is the GCD (GCF) of 60 and 240?
The Greatest Common Divisor (GCD) of 60 and 240 is 60.
What are equivalent fractions to 60/240?
Equivalent fractions to 60/240 include 2/8, 3/12, and 4/16.