6/36 simplest form
Understand the Problem
The question is asking to simplify the fraction 6/36 to its simplest form. This involves finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by that number.
Answer
\( \frac{1}{6} \)
Answer for screen readers
The simplified form of the fraction ( \frac{6}{36} ) is ( \frac{1}{6} ).
Steps to Solve
- Find the GCD of 6 and 36
To simplify the fraction, first, we need to find the greatest common divisor (GCD) of the numerator (6) and denominator (36).
The GCD of 6 and 36 is 6 since 6 is the largest number that divides both.
- Divide the numerator and denominator by the GCD
Now we can simplify the fraction by dividing both the numerator and the denominator by the GCD we found.
$$ \frac{6 \div 6}{36 \div 6} = \frac{1}{6} $$
So the simplified fraction is ( \frac{1}{6} ).
The simplified form of the fraction ( \frac{6}{36} ) is ( \frac{1}{6} ).
More Information
When simplifying fractions, it's useful to know the GCD, which ensures that you are reducing to the most basic form. The concept of GCD can be applied to any fraction simplification.
Tips
- Failing to find the GCD correctly can lead to the wrong simplification. Always double-check your calculations of factors.
- Sometimes, people also forget to simplify both the numerator and the denominator.
