Simplify 72/132 to Lowest Terms
72/132 simplified to its lowest terms is 6/11 (or 0.545455 in decimal). See how to reduce 72/132 using Greatest Common Divisor (GCD = 12).
Exact Answer
72/132 = 6/11
Simplified Fraction
6/11
Mixed Number
Proper (6/11)
Decimal Value
0.545455
Percentage
54.5455%
Step-by-Step Solution: 72/132 = 6/11
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 72:
โข Factors of 132:
โข Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72โข Factors of 132:
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD(72, 132) = 12
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 12. Divide both the numerator (72) and denominator (132) by 12.
72 รท 12/132 รท 12 = 6/11
Visual Representation
The diagram below illustrates Simplify 72/132 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 6/11 |
| Mixed Number Form | 6/11 |
| Decimal Form | 0.545455 |
| Percentage | 54.5455% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 72/132 in simplest form?
72/132 simplified to lowest terms is 6/11.
What is the GCD (GCF) of 72 and 132?
The Greatest Common Divisor (GCD) of 72 and 132 is 12.
What are equivalent fractions to 72/132?
Equivalent fractions to 72/132 include 12/22, 18/33, and 24/44.