Simplify 288/268 to Lowest Terms
288/268 simplified to its lowest terms is 72/67 (or 1.074627 in decimal). See how to reduce 288/268 using Greatest Common Divisor (GCD = 4).
Exact Answer
288/268 = 72/67
Simplified Fraction
72/67
Mixed Number
1 5/67
Decimal Value
1.074627
Percentage
107.4627%
Step-by-Step Solution: 288/268 = 72/67
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 288:
• Factors of 268:
• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96• Factors of 268:
1, 2, 4, 67, 134, 268
GCD(288, 268) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (288) and denominator (268) by 4.
288 ÷ 4/268 ÷ 4 = 72/67
Step 3
Convert Improper Fraction to a Mixed Number
Because 72 is larger than 67, 72/67 can also be written as the mixed number 1 5/67.
72/67 = 15/67
Visual Representation
The diagram below illustrates Simplify 288/268 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 72/67 |
| Mixed Number Form | 1 5/67 |
| Decimal Form | 1.074627 |
| Percentage | 107.4627% |
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Frequently Asked Questions
What is 288/268 in simplest form?
288/268 simplified to lowest terms is 72/67.
What is the GCD (GCF) of 288 and 268?
The Greatest Common Divisor (GCD) of 288 and 268 is 4.
What are equivalent fractions to 288/268?
Equivalent fractions to 288/268 include 144/134, 216/201, and 288/268.