Simplify 78/120 to Lowest Terms
78/120 simplified to its lowest terms is 13/20 (or 0.65 in decimal). See how to reduce 78/120 using Greatest Common Divisor (GCD = 6).
Exact Answer
78/120 = 13/20
Simplified Fraction
13/20
Mixed Number
Proper (13/20)
Decimal Value
0.65
Percentage
65%
Step-by-Step Solution: 78/120 = 13/20
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 78:
• Factors of 120:
• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78• Factors of 120:
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD(78, 120) = 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 (120) by 6.
78 ÷ 6/120 ÷ 6 = 13/20
Visual Representation
The diagram below illustrates Simplify 78/120 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/20 |
| Mixed Number Form | 13/20 |
| Decimal Form | 0.65 |
| Percentage | 65% |
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Frequently Asked Questions
What is 78/120 in simplest form?
78/120 simplified to lowest terms is 13/20.
What is the GCD (GCF) of 78 and 120?
The Greatest Common Divisor (GCD) of 78 and 120 is 6.
What are equivalent fractions to 78/120?
Equivalent fractions to 78/120 include 26/40, 39/60, and 52/80.