simplify 12/14
Understand the Problem
The question is asking us to simplify the fraction 12/14 to its lowest terms. We will find the greatest common divisor (GCD) of the numerator and denominator and then divide both by this number.
Answer
6/7
Answer for screen readers
The fraction 12/14 simplified to its lowest terms is 6/7
Steps to Solve
- Find the GCD of the numerator and the denominator
The GCD (Greatest Common Divisor) of 12 and 14 can be found by listing the factors of each number:
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 14: 1, 2, 7, 14
The greatest common factor is 2.
- Divide both the numerator and the denominator by the GCD
Now, divide both 12 and 14 by their GCD, which is 2:
[ \frac{12 \div 2}{14 \div 2} = \frac{6}{7} ]
The fraction 12/14 simplified to its lowest terms is 6/7.
The fraction 12/14 simplified to its lowest terms is 6/7
More Information
Simplifying fractions helps in better understanding and comparing ratios.
Tips
A common mistake is to incorrectly identify the GCD, leading to an incorrect simplified fraction. Always double-check the factors.
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