Simplify 66/240 to Lowest Terms
66/240 simplified to its lowest terms is 11/40 (or 0.275 in decimal). See how to reduce 66/240 using Greatest Common Divisor (GCD = 6).
Exact Answer
66/240 = 11/40
Simplified Fraction
11/40
Mixed Number
Proper (11/40)
Decimal Value
0.275
Percentage
27.5%
Step-by-Step Solution: 66/240 = 11/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 66:
• Factors of 240:
• Factors of 66:
1, 2, 3, 6, 11, 22, 33, 66• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(66, 240) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (66) and denominator (240) by 6.
66 ÷ 6/240 ÷ 6 = 11/40
Visual Representation
The diagram below illustrates Simplify 66/240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 11/40 |
| Mixed Number Form | 11/40 |
| Decimal Form | 0.275 |
| Percentage | 27.5% |
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Frequently Asked Questions
What is 66/240 in simplest form?
66/240 simplified to lowest terms is 11/40.
What is the GCD (GCF) of 66 and 240?
The Greatest Common Divisor (GCD) of 66 and 240 is 6.
What are equivalent fractions to 66/240?
Equivalent fractions to 66/240 include 22/80, 33/120, and 44/160.