Simplify 72/114 to Lowest Terms
72/114 simplified to its lowest terms is 12/19 (or 0.631579 in decimal). See how to reduce 72/114 using Greatest Common Divisor (GCD = 6).
Exact Answer
72/114 = 12/19
Simplified Fraction
12/19
Mixed Number
Proper (12/19)
Decimal Value
0.631579
Percentage
63.1579%
Step-by-Step Solution: 72/114 = 12/19
Step 1
Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 72:
• Factors of 114:
• Factors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72• Factors of 114:
1, 2, 3, 6, 19, 38, 57, 114
GCD(72, 114) = 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 (114) by 6.
72 ÷ 6/114 ÷ 6 = 12/19
Visual Representation
The diagram below illustrates Simplify 72/114 visually:
Summary & Alternative Representations
| Property / Format | Value |
|---|---|
| Lowest Terms Fraction | 12/19 |
| Mixed Number Form | 12/19 |
| Decimal Form | 0.631579 |
| Percentage | 63.1579% |
Was this solution helpful?
Help us improve our free step-by-step tools
Frequently Asked Questions
What is 72/114 in simplest form?
72/114 simplified to lowest terms is 12/19.
What is the GCD (GCF) of 72 and 114?
The Greatest Common Divisor (GCD) of 72 and 114 is 6.
What are equivalent fractions to 72/114?
Equivalent fractions to 72/114 include 24/38, 36/57, and 48/76.