Simplify 72/162 to Lowest Terms
72/162 simplified to its lowest terms is 4/9 (or 0.444444 in decimal). See how to reduce 72/162 using Greatest Common Divisor (GCD = 18).
Exact Answer
72/162 = 4/9
Simplified Fraction
4/9
Mixed Number
Proper (4/9)
Decimal Value
0.444444
Percentage
44.4444%
Step-by-Step Solution: 72/162 = 4/9
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 162:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 162:
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD(72, 162) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (72) and denominator (162) by 18.
72 ÷ 18/162 ÷ 18 = 4/9
Visual Representation
The diagram below illustrates Simplify 72/162 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/9 |
| Mixed Number Form | 4/9 |
| Decimal Form | 0.444444 |
| Percentage | 44.4444% |
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Frequently Asked Questions
What is 72/162 in simplest form?
72/162 simplified to lowest terms is 4/9.
What is the GCD (GCF) of 72 and 162?
The Greatest Common Divisor (GCD) of 72 and 162 is 18.
What are equivalent fractions to 72/162?
Equivalent fractions to 72/162 include 8/18, 12/27, and 16/36.