11/33 simplified
Understand the Problem
The question is asking how to simplify the fraction 11/33 to its lowest terms. To do this, we will find the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number.
Answer
The simplified fraction is $\frac{1}{3}$.
Answer for screen readers
The simplified fraction is $\frac{1}{3}$.
Steps to Solve
- Find the GCD
To simplify the fraction $\frac{11}{33}$, we need to find the greatest common divisor (GCD) of 11 and 33. The GCD is the largest number that divides both numbers without leaving a remainder.
The factors of 11 are: 1, 11
The factors of 33 are: 1, 3, 11, 33
So, the GCD is 11.
- Divide the numerator and denominator by the GCD
Now that we know the GCD is 11, we can divide both the numerator and the denominator by the GCD to simplify the fraction:
$$ \frac{11 \div 11}{33 \div 11} = \frac{1}{3} $$
- Write the simplified fraction
The simplified form of the fraction $\frac{11}{33}$ is now written as $\frac{1}{3}$.
The simplified fraction is $\frac{1}{3}$.
More Information
When simplifying fractions, finding the GCD is essential. In this case, 11 is a prime number, which means its only factors are 1 and itself. This made it easier to identify the GCD quickly.
Tips
- Forgetting to find the GCD thoroughly may lead to incorrect simplifications. Always check that the GCD used is accurate.
- Miscalculating when dividing both the numerator and denominator by the GCD can produce the wrong fraction. Always double-check your arithmetic.
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