Simplify 264/420 to Lowest Terms
264/420 simplified to its lowest terms is 22/35 (or 0.628571 in decimal). See how to reduce 264/420 using Greatest Common Divisor (GCD = 12).
Exact Answer
264/420 = 22/35
Simplified Fraction
22/35
Mixed Number
Proper (22/35)
Decimal Value
0.628571
Percentage
62.8571%
Step-by-Step Solution: 264/420 = 22/35
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 264:
• Factors of 420:
• Factors of 264:
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(264, 420) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (264) and denominator (420) by 12.
264 ÷ 12/420 ÷ 12 = 22/35
Visual Representation
The diagram below illustrates Simplify 264/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 22/35 |
| Mixed Number Form | 22/35 |
| Decimal Form | 0.628571 |
| Percentage | 62.8571% |
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Frequently Asked Questions
What is 264/420 in simplest form?
264/420 simplified to lowest terms is 22/35.
What is the GCD (GCF) of 264 and 420?
The Greatest Common Divisor (GCD) of 264 and 420 is 12.
What are equivalent fractions to 264/420?
Equivalent fractions to 264/420 include 44/70, 66/105, and 88/140.