Simplify 76/122 to Lowest Terms
76/122 simplified to its lowest terms is 38/61 (or 0.622951 in decimal). See how to reduce 76/122 using Greatest Common Divisor (GCD = 2).
Exact Answer
76/122 = 38/61
Simplified Fraction
38/61
Mixed Number
Proper (38/61)
Decimal Value
0.622951
Percentage
62.2951%
Step-by-Step Solution: 76/122 = 38/61
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 122:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 122:
1, 2, 61, 122
GCD(76, 122) = 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 (122) by 2.
76 ÷ 2/122 ÷ 2 = 38/61
Visual Representation
The diagram below illustrates Simplify 76/122 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 38/61 |
| Mixed Number Form | 38/61 |
| Decimal Form | 0.622951 |
| Percentage | 62.2951% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 76/122 in simplest form?
76/122 simplified to lowest terms is 38/61.
What is the GCD (GCF) of 76 and 122?
The Greatest Common Divisor (GCD) of 76 and 122 is 2.
What are equivalent fractions to 76/122?
Equivalent fractions to 76/122 include 76/122, 114/183, and 152/244.