Simplify 42/228 to Lowest Terms
42/228 simplified to its lowest terms is 7/38 (or 0.184211 in decimal). See how to reduce 42/228 using Greatest Common Divisor (GCD = 6).
Exact Answer
42/228 = 7/38
Simplified Fraction
7/38
Mixed Number
Proper (7/38)
Decimal Value
0.184211
Percentage
18.4211%
Step-by-Step Solution: 42/228 = 7/38
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 228:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 228:
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
GCD(42, 228) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (42) and denominator (228) by 6.
42 ÷ 6/228 ÷ 6 = 7/38
Visual Representation
The diagram below illustrates Simplify 42/228 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 7/38 |
| Mixed Number Form | 7/38 |
| Decimal Form | 0.184211 |
| Percentage | 18.4211% |
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Frequently Asked Questions
What is 42/228 in simplest form?
42/228 simplified to lowest terms is 7/38.
What is the GCD (GCF) of 42 and 228?
The Greatest Common Divisor (GCD) of 42 and 228 is 6.
What are equivalent fractions to 42/228?
Equivalent fractions to 42/228 include 14/76, 21/114, and 28/152.