Simplify 42/196 to Lowest Terms
42/196 simplified to its lowest terms is 3/14 (or 0.214286 in decimal). See how to reduce 42/196 using Greatest Common Divisor (GCD = 14).
Exact Answer
42/196 = 3/14
Simplified Fraction
3/14
Mixed Number
Proper (3/14)
Decimal Value
0.214286
Percentage
21.4286%
Step-by-Step Solution: 42/196 = 3/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 42:
• Factors of 196:
• Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42• Factors of 196:
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD(42, 196) = 14
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 14. Divide both the numerator (42) and denominator (196) by 14.
42 ÷ 14/196 ÷ 14 = 3/14
Visual Representation
The diagram below illustrates Simplify 42/196 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/14 |
| Mixed Number Form | 3/14 |
| Decimal Form | 0.214286 |
| Percentage | 21.4286% |
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Frequently Asked Questions
What is 42/196 in simplest form?
42/196 simplified to lowest terms is 3/14.
What is the GCD (GCF) of 42 and 196?
The Greatest Common Divisor (GCD) of 42 and 196 is 14.
What are equivalent fractions to 42/196?
Equivalent fractions to 42/196 include 6/28, 9/42, and 12/56.