Simplify 120/78 to Lowest Terms
120/78 simplified to its lowest terms is 20/13 (or 1.538462 in decimal). See how to reduce 120/78 using Greatest Common Divisor (GCD = 6).
Exact Answer
120/78 = 20/13
Simplified Fraction
20/13
Mixed Number
1 7/13
Decimal Value
1.538462
Percentage
153.8462%
Step-by-Step Solution: 120/78 = 20/13
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 120:
• Factors of 78:
• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78
GCD(120, 78) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (120) and denominator (78) by 6.
120 ÷ 6/78 ÷ 6 = 20/13
Step 3
Convert Improper Fraction to a Mixed Number
Because 20 is larger than 13, 20/13 can also be written as the mixed number 1 7/13.
20/13 = 17/13
Visual Representation
The diagram below illustrates Simplify 120/78 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 20/13 |
| Mixed Number Form | 1 7/13 |
| Decimal Form | 1.538462 |
| Percentage | 153.8462% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 120/78 in simplest form?
120/78 simplified to lowest terms is 20/13.
What is the GCD (GCF) of 120 and 78?
The Greatest Common Divisor (GCD) of 120 and 78 is 6.
What are equivalent fractions to 120/78?
Equivalent fractions to 120/78 include 40/26, 60/39, and 80/52.