Simplify 76/338 to Lowest Terms
76/338 simplified to its lowest terms is 38/169 (or 0.224852 in decimal). See how to reduce 76/338 using Greatest Common Divisor (GCD = 2).
Exact Answer
76/338 = 38/169
Simplified Fraction
38/169
Mixed Number
Proper (38/169)
Decimal Value
0.224852
Percentage
22.4852%
Step-by-Step Solution: 76/338 = 38/169
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 338:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 338:
1, 2, 13, 26, 169, 338
GCD(76, 338) = 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 (338) by 2.
76 ÷ 2/338 ÷ 2 = 38/169
Visual Representation
The diagram below illustrates Simplify 76/338 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 38/169 |
| Mixed Number Form | 38/169 |
| Decimal Form | 0.224852 |
| Percentage | 22.4852% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 76/338 in simplest form?
76/338 simplified to lowest terms is 38/169.
What is the GCD (GCF) of 76 and 338?
The Greatest Common Divisor (GCD) of 76 and 338 is 2.
What are equivalent fractions to 76/338?
Equivalent fractions to 76/338 include 76/338, 114/507, and 152/676.