Simplify 78/240 to Lowest Terms
78/240 simplified to its lowest terms is 13/40 (or 0.325 in decimal). See how to reduce 78/240 using Greatest Common Divisor (GCD = 6).
Exact Answer
78/240 = 13/40
Simplified Fraction
13/40
Mixed Number
Proper (13/40)
Decimal Value
0.325
Percentage
32.5%
Step-by-Step Solution: 78/240 = 13/40
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 78:
• Factors of 240:
• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78• Factors of 240:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48
GCD(78, 240) = 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 (240) by 6.
78 ÷ 6/240 ÷ 6 = 13/40
Visual Representation
The diagram below illustrates Simplify 78/240 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/40 |
| Mixed Number Form | 13/40 |
| Decimal Form | 0.325 |
| Percentage | 32.5% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 78/240 in simplest form?
78/240 simplified to lowest terms is 13/40.
What is the GCD (GCF) of 78 and 240?
The Greatest Common Divisor (GCD) of 78 and 240 is 6.
What are equivalent fractions to 78/240?
Equivalent fractions to 78/240 include 26/80, 39/120, and 52/160.