Simplify 72/242 to Lowest Terms
72/242 simplified to its lowest terms is 36/121 (or 0.297521 in decimal). See how to reduce 72/242 using Greatest Common Divisor (GCD = 2).
Exact Answer
72/242 = 36/121
Simplified Fraction
36/121
Mixed Number
Proper (36/121)
Decimal Value
0.297521
Percentage
29.7521%
Step-by-Step Solution: 72/242 = 36/121
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 242:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 242:
1, 2, 11, 22, 121, 242
GCD(72, 242) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (72) and denominator (242) by 2.
72 ÷ 2/242 ÷ 2 = 36/121
Visual Representation
The diagram below illustrates Simplify 72/242 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 36/121 |
| Mixed Number Form | 36/121 |
| Decimal Form | 0.297521 |
| Percentage | 29.7521% |
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Frequently Asked Questions
What is 72/242 in simplest form?
72/242 simplified to lowest terms is 36/121.
What is the GCD (GCF) of 72 and 242?
The Greatest Common Divisor (GCD) of 72 and 242 is 2.
What are equivalent fractions to 72/242?
Equivalent fractions to 72/242 include 72/242, 108/363, and 144/484.