Simplify 288/242 to Lowest Terms
288/242 simplified to its lowest terms is 144/121 (or 1.190083 in decimal). See how to reduce 288/242 using Greatest Common Divisor (GCD = 2).
Exact Answer
288/242 = 144/121
Simplified Fraction
144/121
Mixed Number
1 23/121
Decimal Value
1.190083
Percentage
119.0083%
Step-by-Step Solution: 288/242 = 144/121
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 288:
• Factors of 242:
• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96• Factors of 242:
1, 2, 11, 22, 121, 242
GCD(288, 242) = 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 (242) by 2.
288 ÷ 2/242 ÷ 2 = 144/121
Step 3
Convert Improper Fraction to a Mixed Number
Because 144 is larger than 121, 144/121 can also be written as the mixed number 1 23/121.
144/121 = 123/121
Visual Representation
The diagram below illustrates Simplify 288/242 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 144/121 |
| Mixed Number Form | 1 23/121 |
| Decimal Form | 1.190083 |
| Percentage | 119.0083% |
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Frequently Asked Questions
What is 288/242 in simplest form?
288/242 simplified to lowest terms is 144/121.
What is the GCD (GCF) of 288 and 242?
The Greatest Common Divisor (GCD) of 288 and 242 is 2.
What are equivalent fractions to 288/242?
Equivalent fractions to 288/242 include 288/242, 432/363, and 576/484.