Simplify 78/420 to Lowest Terms
78/420 simplified to its lowest terms is 13/70 (or 0.185714 in decimal). See how to reduce 78/420 using Greatest Common Divisor (GCD = 6).
Exact Answer
78/420 = 13/70
Simplified Fraction
13/70
Mixed Number
Proper (13/70)
Decimal Value
0.185714
Percentage
18.5714%
Step-by-Step Solution: 78/420 = 13/70
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 78:
• Factors of 420:
• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78• Factors of 420:
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35
GCD(78, 420) = 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 (420) by 6.
78 ÷ 6/420 ÷ 6 = 13/70
Visual Representation
The diagram below illustrates Simplify 78/420 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/70 |
| Mixed Number Form | 13/70 |
| Decimal Form | 0.185714 |
| Percentage | 18.5714% |
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Frequently Asked Questions
What is 78/420 in simplest form?
78/420 simplified to lowest terms is 13/70.
What is the GCD (GCF) of 78 and 420?
The Greatest Common Divisor (GCD) of 78 and 420 is 6.
What are equivalent fractions to 78/420?
Equivalent fractions to 78/420 include 26/140, 39/210, and 52/280.