Simplify 162/216 to Lowest Terms
162/216 simplified to its lowest terms is 3/4 (or 0.75 in decimal). See how to reduce 162/216 using Greatest Common Divisor (GCD = 54).
Exact Answer
162/216 = 3/4
Simplified Fraction
3/4
Mixed Number
Proper (3/4)
Decimal Value
0.75
Percentage
75%
Step-by-Step Solution: 162/216 = 3/4
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 162:
• Factors of 216:
• Factors of 162:
1, 2, 3, 6, 9, 18, 27, 54, 81, 162• Factors of 216:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD(162, 216) = 54
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 54. Divide both the numerator (162) and denominator (216) by 54.
162 ÷ 54/216 ÷ 54 = 3/4
Visual Representation
The diagram below illustrates Simplify 162/216 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 3/4 |
| Mixed Number Form | 3/4 |
| Decimal Form | 0.75 |
| Percentage | 75% |
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Frequently Asked Questions
What is 162/216 in simplest form?
162/216 simplified to lowest terms is 3/4.
What is the GCD (GCF) of 162 and 216?
The Greatest Common Divisor (GCD) of 162 and 216 is 54.
What are equivalent fractions to 162/216?
Equivalent fractions to 162/216 include 6/8, 9/12, and 12/16.