Simplify 72/294 to Lowest Terms
72/294 simplified to its lowest terms is 12/49 (or 0.244898 in decimal). See how to reduce 72/294 using Greatest Common Divisor (GCD = 6).
Exact Answer
72/294 = 12/49
Simplified Fraction
12/49
Mixed Number
Proper (12/49)
Decimal Value
0.244898
Percentage
24.4898%
Step-by-Step Solution: 72/294 = 12/49
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 294:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 294:
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
GCD(72, 294) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (72) and denominator (294) by 6.
72 ÷ 6/294 ÷ 6 = 12/49
Visual Representation
The diagram below illustrates Simplify 72/294 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 12/49 |
| Mixed Number Form | 12/49 |
| Decimal Form | 0.244898 |
| Percentage | 24.4898% |
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Frequently Asked Questions
What is 72/294 in simplest form?
72/294 simplified to lowest terms is 12/49.
What is the GCD (GCF) of 72 and 294?
The Greatest Common Divisor (GCD) of 72 and 294 is 6.
What are equivalent fractions to 72/294?
Equivalent fractions to 72/294 include 24/98, 36/147, and 48/196.