Simplify 76/378 to Lowest Terms
76/378 simplified to its lowest terms is 38/189 (or 0.201058 in decimal). See how to reduce 76/378 using Greatest Common Divisor (GCD = 2).
Exact Answer
76/378 = 38/189
Simplified Fraction
38/189
Mixed Number
Proper (38/189)
Decimal Value
0.201058
Percentage
20.1058%
Step-by-Step Solution: 76/378 = 38/189
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 378:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 378:
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
GCD(76, 378) = 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 (378) by 2.
76 ÷ 2/378 ÷ 2 = 38/189
Visual Representation
The diagram below illustrates Simplify 76/378 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 38/189 |
| Mixed Number Form | 38/189 |
| Decimal Form | 0.201058 |
| Percentage | 20.1058% |
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Frequently Asked Questions
What is 76/378 in simplest form?
76/378 simplified to lowest terms is 38/189.
What is the GCD (GCF) of 76 and 378?
The Greatest Common Divisor (GCD) of 76 and 378 is 2.
What are equivalent fractions to 76/378?
Equivalent fractions to 76/378 include 76/378, 114/567, and 152/756.