simplify 45/50
Understand the Problem
The question is asking for the simplification of the fraction 45/50 to its lowest terms. We will find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by that number.
Answer
The simplified form of $\frac{45}{50}$ is $\frac{9}{10}$.
Answer for screen readers
The simplified fraction of $\frac{45}{50}$ is $\frac{9}{10}$.
Steps to Solve
- Find the GCD of 45 and 50
To simplify the fraction, we first need to find the greatest common divisor (GCD) of 45 and 50.
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 50 are: 1, 2, 5, 10, 25, 50
The common factors are: 1, 5
Thus, the GCD is 5.
- Divide the numerator and denominator by the GCD
Now that we have the GCD, we will divide both the numerator and the denominator by 5.
For the numerator: $$ \frac{45}{5} = 9 $$
For the denominator: $$ \frac{50}{5} = 10 $$
- Write the simplified fraction
The simplified fraction, after dividing both by their GCD, is: $$ \frac{9}{10} $$
The simplified fraction of $\frac{45}{50}$ is $\frac{9}{10}$.
More Information
When simplifying fractions, finding the GCD is crucial because it ensures that the fraction is expressed in its lowest terms. This process can be used for any pair of numbers.
Tips
- Not identifying the greatest common divisor correctly can lead to incorrect simplifications. Always check your factors carefully.
- Forgetting to divide both the numerator and the denominator by the GCD.
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