Simplify 78/252 to Lowest Terms
78/252 simplified to its lowest terms is 13/42 (or 0.309524 in decimal). See how to reduce 78/252 using Greatest Common Divisor (GCD = 6).
Exact Answer
78/252 = 13/42
Simplified Fraction
13/42
Mixed Number
Proper (13/42)
Decimal Value
0.309524
Percentage
30.9524%
Step-by-Step Solution: 78/252 = 13/42
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 78:
• Factors of 252:
• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78• Factors of 252:
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84
GCD(78, 252) = 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 (252) by 6.
78 ÷ 6/252 ÷ 6 = 13/42
Visual Representation
The diagram below illustrates Simplify 78/252 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 13/42 |
| Mixed Number Form | 13/42 |
| Decimal Form | 0.309524 |
| Percentage | 30.9524% |
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Frequently Asked Questions
What is 78/252 in simplest form?
78/252 simplified to lowest terms is 13/42.
What is the GCD (GCF) of 78 and 252?
The Greatest Common Divisor (GCD) of 78 and 252 is 6.
What are equivalent fractions to 78/252?
Equivalent fractions to 78/252 include 26/84, 39/126, and 52/168.