Simplify 78/108 to Lowest Terms
78/108 simplified to its lowest terms is 13/18 (or 0.722222 in decimal). See how to reduce 78/108 using Greatest Common Divisor (GCD = 6).
Exact Answer
78/108 = 13/18
Simplified Fraction
13/18
Mixed Number
Proper (13/18)
Decimal Value
0.722222
Percentage
72.2222%
Step-by-Step Solution: 78/108 = 13/18
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 78:
• Factors of 108:
• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78• Factors of 108:
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
GCD(78, 108) = 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 (108) by 6.
78 ÷ 6/108 ÷ 6 = 13/18
Visual Representation
The diagram below illustrates Simplify 78/108 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/18 |
| Mixed Number Form | 13/18 |
| Decimal Form | 0.722222 |
| Percentage | 72.2222% |
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Frequently Asked Questions
What is 78/108 in simplest form?
78/108 simplified to lowest terms is 13/18.
What is the GCD (GCF) of 78 and 108?
The Greatest Common Divisor (GCD) of 78 and 108 is 6.
What are equivalent fractions to 78/108?
Equivalent fractions to 78/108 include 26/36, 39/54, and 52/72.