Simplify 78/180 to Lowest Terms
78/180 simplified to its lowest terms is 13/30 (or 0.433333 in decimal). See how to reduce 78/180 using Greatest Common Divisor (GCD = 6).
Exact Answer
78/180 = 13/30
Simplified Fraction
13/30
Mixed Number
Proper (13/30)
Decimal Value
0.433333
Percentage
43.3333%
Step-by-Step Solution: 78/180 = 13/30
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 78:
• Factors of 180:
• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78• Factors of 180:
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60
GCD(78, 180) = 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 (180) by 6.
78 ÷ 6/180 ÷ 6 = 13/30
Visual Representation
The diagram below illustrates Simplify 78/180 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/30 |
| Mixed Number Form | 13/30 |
| Decimal Form | 0.433333 |
| Percentage | 43.3333% |
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Frequently Asked Questions
What is 78/180 in simplest form?
78/180 simplified to lowest terms is 13/30.
What is the GCD (GCF) of 78 and 180?
The Greatest Common Divisor (GCD) of 78 and 180 is 6.
What are equivalent fractions to 78/180?
Equivalent fractions to 78/180 include 26/60, 39/90, and 52/120.