Simplify 48/162 to Lowest Terms
48/162 simplified to its lowest terms is 8/27 (or 0.296296 in decimal). See how to reduce 48/162 using Greatest Common Divisor (GCD = 6).
Exact Answer
48/162 = 8/27
Simplified Fraction
8/27
Mixed Number
Proper (8/27)
Decimal Value
0.296296
Percentage
29.6296%
Step-by-Step Solution: 48/162 = 8/27
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 48:
• Factors of 162:
• Factors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48• Factors of 162:
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
GCD(48, 162) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (48) and denominator (162) by 6.
48 ÷ 6/162 ÷ 6 = 8/27
Visual Representation
The diagram below illustrates Simplify 48/162 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 8/27 |
| Mixed Number Form | 8/27 |
| Decimal Form | 0.296296 |
| Percentage | 29.6296% |
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Frequently Asked Questions
What is 48/162 in simplest form?
48/162 simplified to lowest terms is 8/27.
What is the GCD (GCF) of 48 and 162?
The Greatest Common Divisor (GCD) of 48 and 162 is 6.
What are equivalent fractions to 48/162?
Equivalent fractions to 48/162 include 16/54, 24/81, and 32/108.