Simplify 78/288 to Lowest Terms
78/288 simplified to its lowest terms is 13/48 (or 0.270833 in decimal). See how to reduce 78/288 using Greatest Common Divisor (GCD = 6).
Exact Answer
78/288 = 13/48
Simplified Fraction
13/48
Mixed Number
Proper (13/48)
Decimal Value
0.270833
Percentage
27.0833%
Step-by-Step Solution: 78/288 = 13/48
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 78:
• Factors of 288:
• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78• Factors of 288:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96
GCD(78, 288) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (78) and denominator (288) by 6.
78 ÷ 6/288 ÷ 6 = 13/48
Visual Representation
The diagram below illustrates Simplify 78/288 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/48 |
| Mixed Number Form | 13/48 |
| Decimal Form | 0.270833 |
| Percentage | 27.0833% |
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Frequently Asked Questions
What is 78/288 in simplest form?
78/288 simplified to lowest terms is 13/48.
What is the GCD (GCF) of 78 and 288?
The Greatest Common Divisor (GCD) of 78 and 288 is 6.
What are equivalent fractions to 78/288?
Equivalent fractions to 78/288 include 26/96, 39/144, and 52/192.