Simplify 78/84 to Lowest Terms
78/84 simplified to its lowest terms is 13/14 (or 0.928571 in decimal). See how to reduce 78/84 using Greatest Common Divisor (GCD = 6).
Exact Answer
78/84 = 13/14
Simplified Fraction
13/14
Mixed Number
Proper (13/14)
Decimal Value
0.928571
Percentage
92.8571%
Step-by-Step Solution: 78/84 = 13/14
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 78:
• Factors of 84:
• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78• Factors of 84:
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
GCD(78, 84) = 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 (84) by 6.
78 ÷ 6/84 ÷ 6 = 13/14
Visual Representation
The diagram below illustrates Simplify 78/84 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/14 |
| Mixed Number Form | 13/14 |
| Decimal Form | 0.928571 |
| Percentage | 92.8571% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 78/84 in simplest form?
78/84 simplified to lowest terms is 13/14.
What is the GCD (GCF) of 78 and 84?
The Greatest Common Divisor (GCD) of 78 and 84 is 6.
What are equivalent fractions to 78/84?
Equivalent fractions to 78/84 include 26/28, 39/42, and 52/56.