Simplify 12/42 to Lowest Terms
12/42 simplified to its lowest terms is 2/7 (or 0.285714 in decimal). See how to reduce 12/42 using Greatest Common Divisor (GCD = 6).
Exact Answer
12/42 = 2/7
Simplified Fraction
2/7
Mixed Number
Proper (2/7)
Decimal Value
0.285714
Percentage
28.5714%
Step-by-Step Solution: 12/42 = 2/7
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 12:
• Factors of 42:
• Factors of 12:
1, 2, 3, 4, 6, 12• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
GCD(12, 42) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (12) and denominator (42) by 6.
12 ÷ 6/42 ÷ 6 = 2/7
Visual Representation
The diagram below illustrates Simplify 12/42 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 2/7 |
| Mixed Number Form | 2/7 |
| Decimal Form | 0.285714 |
| Percentage | 28.5714% |
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Frequently Asked Questions
What is 12/42 in simplest form?
12/42 simplified to lowest terms is 2/7.
What is the GCD (GCF) of 12 and 42?
The Greatest Common Divisor (GCD) of 12 and 42 is 6.
What are equivalent fractions to 12/42?
Equivalent fractions to 12/42 include 4/14, 6/21, and 8/28.