Simplify 288/338 to Lowest Terms
288/338 simplified to its lowest terms is 144/169 (or 0.852071 in decimal). See how to reduce 288/338 using Greatest Common Divisor (GCD = 2).
Exact Answer
288/338 = 144/169
Simplified Fraction
144/169
Mixed Number
Proper (144/169)
Decimal Value
0.852071
Percentage
85.2071%
Step-by-Step Solution: 288/338 = 144/169
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
โข Factors of 288:
โข Factors of 338:
โข Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96โข Factors of 338:
1, 2, 13, 26, 169, 338
GCD(288, 338) = 2
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (288) and denominator (338) by 2.
288 รท 2/338 รท 2 = 144/169
Visual Representation
The diagram below illustrates Simplify 288/338 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 144/169 |
| Mixed Number Form | 144/169 |
| Decimal Form | 0.852071 |
| Percentage | 85.2071% |
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Frequently Asked Questions
What is 288/338 in simplest form?
288/338 simplified to lowest terms is 144/169.
What is the GCD (GCF) of 288 and 338?
The Greatest Common Divisor (GCD) of 288 and 338 is 2.
What are equivalent fractions to 288/338?
Equivalent fractions to 288/338 include 288/338, 432/507, and 576/676.