Simplify 76/442 to Lowest Terms
76/442 simplified to its lowest terms is 38/221 (or 0.171946 in decimal). See how to reduce 76/442 using Greatest Common Divisor (GCD = 2).
Exact Answer
76/442 = 38/221
Simplified Fraction
38/221
Mixed Number
Proper (38/221)
Decimal Value
0.171946
Percentage
17.1946%
Step-by-Step Solution: 76/442 = 38/221
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 442:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 442:
1, 2, 13, 17, 26, 34, 221, 442
GCD(76, 442) = 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 (442) by 2.
76 ÷ 2/442 ÷ 2 = 38/221
Visual Representation
The diagram below illustrates Simplify 76/442 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 38/221 |
| Mixed Number Form | 38/221 |
| Decimal Form | 0.171946 |
| Percentage | 17.1946% |
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Frequently Asked Questions
What is 76/442 in simplest form?
76/442 simplified to lowest terms is 38/221.
What is the GCD (GCF) of 76 and 442?
The Greatest Common Divisor (GCD) of 76 and 442 is 2.
What are equivalent fractions to 76/442?
Equivalent fractions to 76/442 include 76/442, 114/663, and 152/884.