Simplify 208/300 to Lowest Terms
208/300 simplified to its lowest terms is 52/75 (or 0.693333 in decimal). See how to reduce 208/300 using Greatest Common Divisor (GCD = 4).
Exact Answer
208/300 = 52/75
Simplified Fraction
52/75
Mixed Number
Proper (52/75)
Decimal Value
0.693333
Percentage
69.3333%
Step-by-Step Solution: 208/300 = 52/75
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 208:
โข Factors of 300:
โข Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208โข Factors of 300:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100
GCD(208, 300) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (208) and denominator (300) by 4.
208 รท 4/300 รท 4 = 52/75
Visual Representation
The diagram below illustrates Simplify 208/300 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 52/75 |
| Mixed Number Form | 52/75 |
| Decimal Form | 0.693333 |
| Percentage | 69.3333% |
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Frequently Asked Questions
What is 208/300 in simplest form?
208/300 simplified to lowest terms is 52/75.
What is the GCD (GCF) of 208 and 300?
The Greatest Common Divisor (GCD) of 208 and 300 is 4.
What are equivalent fractions to 208/300?
Equivalent fractions to 208/300 include 104/150, 156/225, and 208/300.