What is 9/36 in simplest form?
Understand the Problem
The question is asking for the simplest form of the fraction 9/36. To solve this, we will divide the numerator and the denominator by their greatest common divisor (GCD).
Answer
The simplest form of the fraction is $\frac{1}{4}$.
Answer for screen readers
The simplest form of the fraction $\frac{9}{36}$ is $\frac{1}{4}$.
Steps to Solve
- Find the GCD of the Numerator and Denominator
To simplify the fraction $\frac{9}{36}$, first find the greatest common divisor (GCD) of the numerator (9) and the denominator (36).
The factors of 9 are: 1, 3, 9 The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The largest common factor is 9. So, $GCD(9, 36) = 9$.
- Divide the Numerator and Denominator by the GCD
Now divide both the numerator and the denominator by their GCD to simplify the fraction:
$$ \frac{9 \div 9}{36 \div 9} = \frac{1}{4} $$
- Write the Simplified Fraction
The simplest form of the fraction $\frac{9}{36}$ is now $\frac{1}{4}$.
The simplest form of the fraction $\frac{9}{36}$ is $\frac{1}{4}$.
More Information
Simplifying fractions helps in easily understanding ratios and can often make calculations easier in larger problems. The process of finding the GCD is essential in many areas of math.
Tips
- Forgetting to divide both the numerator and the denominator by the GCD, which results in an incorrect fraction simplification.
- Confusing the GCD with the least common multiple (LCM).
