Simplify 138/272 to Lowest Terms
138/272 simplified to its lowest terms is 69/136 (or 0.507353 in decimal). See how to reduce 138/272 using Greatest Common Divisor (GCD = 2).
Exact Answer
138/272 = 69/136
Simplified Fraction
69/136
Mixed Number
Proper (69/136)
Decimal Value
0.507353
Percentage
50.7353%
Step-by-Step Solution: 138/272 = 69/136
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 138:
โข Factors of 272:
โข Factors of 138:
1, 2, 3, 6, 23, 46, 69, 138โข Factors of 272:
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD(138, 272) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (138) and denominator (272) by 2.
138 รท 2/272 รท 2 = 69/136
Visual Representation
The diagram below illustrates Simplify 138/272 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 69/136 |
| Mixed Number Form | 69/136 |
| Decimal Form | 0.507353 |
| Percentage | 50.7353% |
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Frequently Asked Questions
What is 138/272 in simplest form?
138/272 simplified to lowest terms is 69/136.
What is the GCD (GCF) of 138 and 272?
The Greatest Common Divisor (GCD) of 138 and 272 is 2.
What are equivalent fractions to 138/272?
Equivalent fractions to 138/272 include 138/272, 207/408, and 276/544.