Simplify 76/242 to Lowest Terms
76/242 simplified to its lowest terms is 38/121 (or 0.31405 in decimal). See how to reduce 76/242 using Greatest Common Divisor (GCD = 2).
Exact Answer
76/242 = 38/121
Simplified Fraction
38/121
Mixed Number
Proper (38/121)
Decimal Value
0.31405
Percentage
31.405%
Step-by-Step Solution: 76/242 = 38/121
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 242:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 242:
1, 2, 11, 22, 121, 242
GCD(76, 242) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (76) and denominator (242) by 2.
76 ÷ 2/242 ÷ 2 = 38/121
Visual Representation
The diagram below illustrates Simplify 76/242 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 38/121 |
| Mixed Number Form | 38/121 |
| Decimal Form | 0.31405 |
| Percentage | 31.405% |
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Frequently Asked Questions
What is 76/242 in simplest form?
76/242 simplified to lowest terms is 38/121.
What is the GCD (GCF) of 76 and 242?
The Greatest Common Divisor (GCD) of 76 and 242 is 2.
What are equivalent fractions to 76/242?
Equivalent fractions to 76/242 include 76/242, 114/363, and 152/484.