Simplify 72/208 to Lowest Terms
72/208 simplified to its lowest terms is 9/26 (or 0.346154 in decimal). See how to reduce 72/208 using Greatest Common Divisor (GCD = 8).
Exact Answer
72/208 = 9/26
Simplified Fraction
9/26
Mixed Number
Proper (9/26)
Decimal Value
0.346154
Percentage
34.6154%
Step-by-Step Solution: 72/208 = 9/26
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 208:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 208:
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
GCD(72, 208) = 8
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 8. Divide both the numerator (72) and denominator (208) by 8.
72 ÷ 8/208 ÷ 8 = 9/26
Visual Representation
The diagram below illustrates Simplify 72/208 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/26 |
| Mixed Number Form | 9/26 |
| Decimal Form | 0.346154 |
| Percentage | 34.6154% |
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Frequently Asked Questions
What is 72/208 in simplest form?
72/208 simplified to lowest terms is 9/26.
What is the GCD (GCF) of 72 and 208?
The Greatest Common Divisor (GCD) of 72 and 208 is 8.
What are equivalent fractions to 72/208?
Equivalent fractions to 72/208 include 18/52, 27/78, and 36/104.