Simplify 76/288 to Lowest Terms
76/288 simplified to its lowest terms is 19/72 (or 0.263889 in decimal). See how to reduce 76/288 using Greatest Common Divisor (GCD = 4).
Exact Answer
76/288 = 19/72
Simplified Fraction
19/72
Mixed Number
Proper (19/72)
Decimal Value
0.263889
Percentage
26.3889%
Step-by-Step Solution: 76/288 = 19/72
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 76:
• Factors of 288:
• Factors of 76:
1, 2, 4, 19, 38, 76• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(76, 288) = 4
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 4. Divide both the numerator (76) and denominator (288) by 4.
76 ÷ 4/288 ÷ 4 = 19/72
Visual Representation
The diagram below illustrates Simplify 76/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 19/72 |
| Mixed Number Form | 19/72 |
| Decimal Form | 0.263889 |
| Percentage | 26.3889% |
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Frequently Asked Questions
What is 76/288 in simplest form?
76/288 simplified to lowest terms is 19/72.
What is the GCD (GCF) of 76 and 288?
The Greatest Common Divisor (GCD) of 76 and 288 is 4.
What are equivalent fractions to 76/288?
Equivalent fractions to 76/288 include 38/144, 57/216, and 76/288.