Simplify 138/264 to Lowest Terms
138/264 simplified to its lowest terms is 23/44 (or 0.522727 in decimal). See how to reduce 138/264 using Greatest Common Divisor (GCD = 6).
Exact Answer
138/264 = 23/44
Simplified Fraction
23/44
Mixed Number
Proper (23/44)
Decimal Value
0.522727
Percentage
52.2727%
Step-by-Step Solution: 138/264 = 23/44
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 138:
โข Factors of 264:
โข Factors of 138:
1, 2, 3, 6, 23, 46, 69, 138โข Factors of 264:
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD(138, 264) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (138) and denominator (264) by 6.
138 รท 6/264 รท 6 = 23/44
Visual Representation
The diagram below illustrates Simplify 138/264 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 23/44 |
| Mixed Number Form | 23/44 |
| Decimal Form | 0.522727 |
| Percentage | 52.2727% |
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Frequently Asked Questions
What is 138/264 in simplest form?
138/264 simplified to lowest terms is 23/44.
What is the GCD (GCF) of 138 and 264?
The Greatest Common Divisor (GCD) of 138 and 264 is 6.
What are equivalent fractions to 138/264?
Equivalent fractions to 138/264 include 46/88, 69/132, and 92/176.