Simplify 72/198 to Lowest Terms
72/198 simplified to its lowest terms is 4/11 (or 0.363636 in decimal). See how to reduce 72/198 using Greatest Common Divisor (GCD = 18).
Exact Answer
72/198 = 4/11
Simplified Fraction
4/11
Mixed Number
Proper (4/11)
Decimal Value
0.363636
Percentage
36.3636%
Step-by-Step Solution: 72/198 = 4/11
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 198:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 198:
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
GCD(72, 198) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (72) and denominator (198) by 18.
72 ÷ 18/198 ÷ 18 = 4/11
Visual Representation
The diagram below illustrates Simplify 72/198 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/11 |
| Mixed Number Form | 4/11 |
| Decimal Form | 0.363636 |
| Percentage | 36.3636% |
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Frequently Asked Questions
What is 72/198 in simplest form?
72/198 simplified to lowest terms is 4/11.
What is the GCD (GCF) of 72 and 198?
The Greatest Common Divisor (GCD) of 72 and 198 is 18.
What are equivalent fractions to 72/198?
Equivalent fractions to 72/198 include 8/22, 12/33, and 16/44.