Simplify 64/240 to Lowest Terms
64/240 simplified to its lowest terms is 4/15 (or 0.266667 in decimal). See how to reduce 64/240 using Greatest Common Divisor (GCD = 16).
Exact Answer
64/240 = 4/15
Simplified Fraction
4/15
Mixed Number
Proper (4/15)
Decimal Value
0.266667
Percentage
26.6667%
Step-by-Step Solution: 64/240 = 4/15
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 64:
• Factors of 240:
• Factors of 64:
1, 2, 4, 8, 16, 32, 64• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(64, 240) = 16
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 16. Divide both the numerator (64) and denominator (240) by 16.
64 ÷ 16/240 ÷ 16 = 4/15
Visual Representation
The diagram below illustrates Simplify 64/240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/15 |
| Mixed Number Form | 4/15 |
| Decimal Form | 0.266667 |
| Percentage | 26.6667% |
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Frequently Asked Questions
What is 64/240 in simplest form?
64/240 simplified to lowest terms is 4/15.
What is the GCD (GCF) of 64 and 240?
The Greatest Common Divisor (GCD) of 64 and 240 is 16.
What are equivalent fractions to 64/240?
Equivalent fractions to 64/240 include 8/30, 12/45, and 16/60.