6/36 in simplest form
Understand the Problem
The question is asking to reduce the fraction 6/36 to its simplest form by finding the greatest common divisor (GCD) of the numerator and the denominator.
Answer
The simplest form of the fraction is $\frac{1}{6}$.
Answer for screen readers
The simplest form of the fraction $\frac{6}{36}$ is $\frac{1}{6}$.
Steps to Solve
- Identify the Numerator and Denominator
The given fraction is $\frac{6}{36}$. Here, the numerator is 6 and the denominator is 36.
- Find the Greatest Common Divisor (GCD)
We can find the GCD of 6 and 36. The GCD is the largest number that divides both 6 and 36 without leaving a remainder.
The factors of 6 are: 1, 2, 3, 6
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The common factors are: 1, 2, 3, 6
The GCD is 6.
- Divide Both the Numerator and Denominator by the GCD
Now, divide both the numerator and the denominator by the GCD:
$$ \frac{6 \div 6}{36 \div 6} = \frac{1}{6} $$
- State the Simplest Form
The simplest form of the fraction $\frac{6}{36}$ is $\frac{1}{6}$.
The simplest form of the fraction $\frac{6}{36}$ is $\frac{1}{6}$.
More Information
Reducing fractions is essential in mathematics to make them easier to work with. By simplifying fractions, we can compare them more readily and perform mathematical operations more efficiently.
Tips
- Forgetting to find the GCD and simplifying by dividing by only the numerator.
- Not checking the division for both the numerator and denominator, which might lead to incorrect simplification.
