Simplify 64/300 to Lowest Terms
64/300 simplified to its lowest terms is 16/75 (or 0.213333 in decimal). See how to reduce 64/300 using Greatest Common Divisor (GCD = 4).
Exact Answer
64/300 = 16/75
Simplified Fraction
16/75
Mixed Number
Proper (16/75)
Decimal Value
0.213333
Percentage
21.3333%
Step-by-Step Solution: 64/300 = 16/75
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 64:
• Factors of 300:
• Factors of 64:
1, 2, 4, 8, 16, 32, 64• Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
GCD(64, 300) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (64) and denominator (300) by 4.
64 ÷ 4/300 ÷ 4 = 16/75
Visual Representation
The diagram below illustrates Simplify 64/300 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 16/75 |
| Mixed Number Form | 16/75 |
| Decimal Form | 0.213333 |
| Percentage | 21.3333% |
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Frequently Asked Questions
What is 64/300 in simplest form?
64/300 simplified to lowest terms is 16/75.
What is the GCD (GCF) of 64 and 300?
The Greatest Common Divisor (GCD) of 64 and 300 is 4.
What are equivalent fractions to 64/300?
Equivalent fractions to 64/300 include 32/150, 48/225, and 64/300.