Simplify 72/196 to Lowest Terms
72/196 simplified to its lowest terms is 18/49 (or 0.367347 in decimal). See how to reduce 72/196 using Greatest Common Divisor (GCD = 4).
Exact Answer
72/196 = 18/49
Simplified Fraction
18/49
Mixed Number
Proper (18/49)
Decimal Value
0.367347
Percentage
36.7347%
Step-by-Step Solution: 72/196 = 18/49
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 196:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 196:
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD(72, 196) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (72) and denominator (196) by 4.
72 ÷ 4/196 ÷ 4 = 18/49
Visual Representation
The diagram below illustrates Simplify 72/196 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 18/49 |
| Mixed Number Form | 18/49 |
| Decimal Form | 0.367347 |
| Percentage | 36.7347% |
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Frequently Asked Questions
What is 72/196 in simplest form?
72/196 simplified to lowest terms is 18/49.
What is the GCD (GCF) of 72 and 196?
The Greatest Common Divisor (GCD) of 72 and 196 is 4.
What are equivalent fractions to 72/196?
Equivalent fractions to 72/196 include 36/98, 54/147, and 72/196.