Simplify 272/218 to Lowest Terms
272/218 simplified to its lowest terms is 136/109 (or 1.247706 in decimal). See how to reduce 272/218 using Greatest Common Divisor (GCD = 2).
Exact Answer
272/218 = 136/109
Simplified Fraction
136/109
Mixed Number
1 27/109
Decimal Value
1.247706
Percentage
124.7706%
Step-by-Step Solution: 272/218 = 136/109
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 272:
• Factors of 218:
• Factors of 272:
1, 2, 4, 8, 16, 17, 34, 68, 136, 272• Factors of 218:
1, 2, 109, 218
GCD(272, 218) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (272) and denominator (218) by 2.
272 ÷ 2/218 ÷ 2 = 136/109
Step 3
Convert Improper Fraction to a Mixed Number
Because 136 is larger than 109, 136/109 can also be written as the mixed number 1 27/109.
136/109 = 127/109
Visual Representation
The diagram below illustrates Simplify 272/218 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 136/109 |
| Mixed Number Form | 1 27/109 |
| Decimal Form | 1.247706 |
| Percentage | 124.7706% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 272/218 in simplest form?
272/218 simplified to lowest terms is 136/109.
What is the GCD (GCF) of 272 and 218?
The Greatest Common Divisor (GCD) of 272 and 218 is 2.
What are equivalent fractions to 272/218?
Equivalent fractions to 272/218 include 272/218, 408/327, and 544/436.