Simplify 162/288 to Lowest Terms
162/288 simplified to its lowest terms is 9/16 (or 0.5625 in decimal). See how to reduce 162/288 using Greatest Common Divisor (GCD = 18).
Exact Answer
162/288 = 9/16
Simplified Fraction
9/16
Mixed Number
Proper (9/16)
Decimal Value
0.5625
Percentage
56.25%
Step-by-Step Solution: 162/288 = 9/16
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 162:
โข Factors of 288:
โข Factors of 162:
1, 2, 3, 6, 9, 18, 27, 54, 81, 162โข Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(162, 288) = 18
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 18. Divide both the numerator (162) and denominator (288) by 18.
162 รท 18/288 รท 18 = 9/16
Visual Representation
The diagram below illustrates Simplify 162/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 9/16 |
| Mixed Number Form | 9/16 |
| Decimal Form | 0.5625 |
| Percentage | 56.25% |
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Frequently Asked Questions
What is 162/288 in simplest form?
162/288 simplified to lowest terms is 9/16.
What is the GCD (GCF) of 162 and 288?
The Greatest Common Divisor (GCD) of 162 and 288 is 18.
What are equivalent fractions to 162/288?
Equivalent fractions to 162/288 include 18/32, 27/48, and 36/64.