Simplify 24/78 to Lowest Terms
24/78 simplified to its lowest terms is 4/13 (or 0.307692 in decimal). See how to reduce 24/78 using Greatest Common Divisor (GCD = 6).
Exact Answer
24/78 = 4/13
Simplified Fraction
4/13
Mixed Number
Proper (4/13)
Decimal Value
0.307692
Percentage
30.7692%
Step-by-Step Solution: 24/78 = 4/13
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 24:
• Factors of 78:
• Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78
GCD(24, 78) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (24) and denominator (78) by 6.
24 ÷ 6/78 ÷ 6 = 4/13
Visual Representation
The diagram below illustrates Simplify 24/78 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 4/13 |
| Mixed Number Form | 4/13 |
| Decimal Form | 0.307692 |
| Percentage | 30.7692% |
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Frequently Asked Questions
What is 24/78 in simplest form?
24/78 simplified to lowest terms is 4/13.
What is the GCD (GCF) of 24 and 78?
The Greatest Common Divisor (GCD) of 24 and 78 is 6.
What are equivalent fractions to 24/78?
Equivalent fractions to 24/78 include 8/26, 12/39, and 16/52.