Simplify 72/78 to Lowest Terms
72/78 simplified to its lowest terms is 12/13 (or 0.923077 in decimal). See how to reduce 72/78 using Greatest Common Divisor (GCD = 6).
Exact Answer
72/78 = 12/13
Simplified Fraction
12/13
Mixed Number
Proper (12/13)
Decimal Value
0.923077
Percentage
92.3077%
Step-by-Step Solution: 72/78 = 12/13
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 78:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 78:
1, 2, 3, 6, 13, 26, 39, 78
GCD(72, 78) = 6
Step 2
Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 6. Divide both the numerator (72) and denominator (78) by 6.
72 ÷ 6/78 ÷ 6 = 12/13
Visual Representation
The diagram below illustrates Simplify 72/78 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 12/13 |
| Mixed Number Form | 12/13 |
| Decimal Form | 0.923077 |
| Percentage | 92.3077% |
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Frequently Asked Questions
What is 72/78 in simplest form?
72/78 simplified to lowest terms is 12/13.
What is the GCD (GCF) of 72 and 78?
The Greatest Common Divisor (GCD) of 72 and 78 is 6.
What are equivalent fractions to 72/78?
Equivalent fractions to 72/78 include 24/26, 36/39, and 48/52.