simplify 9/14
Understand the Problem
The question is asking us to simplify the fraction 9/14 to its lowest terms. This involves identifying the greatest common divisor (GCD) of the numerator and the denominator and dividing both by that number.
Answer
\frac{9}{14}
Answer for screen readers
The fraction 9/14 is already in its simplest form.
Steps to Solve
Simplifying the Fraction 9/14 steps
- Identify the GCD (Greatest Common Divisor) of the Numerator and Denominator
First, we determine the GCD of the numerator (9) and the denominator (14). The GCD is the largest number that divides both the numerator and the denominator.
- Factors of 9: 1, 3, 9
- Factors of 14: 1, 2, 7, 14
The common factor is 1, so the GCD is 1.
- Divide both Numerator and Denominator by the GCD
Divide the numerator and the denominator by their GCD to simplify the fraction.
$$ \frac{9}{14} = \frac{9 \div 1}{14 \div 1} $$
$$ = \frac{9}{14} $$
Since the GCD is 1, the fraction is already in its simplest form.
The fraction 9/14 is already in its simplest form.
More Information
Simplifying a fraction means making it as simple as possible. In this case, because the GCD of 9 and 14 is 1, the fraction is already simplified.
Tips
A common mistake is not finding the correct GCD. Always list all factors of the numerator and denominator and find the largest one they have in common.
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