75/90 simplified
Understand the Problem
The question is asking for the simplified form of the fraction 75/90. To solve this, we'll look for the greatest common divisor (GCD) of the numerator and the denominator and divide both by that number.
Answer
The simplified form of the fraction $\frac{75}{90}$ is $\frac{5}{6}$.
Answer for screen readers
The simplified form of the fraction $\frac{75}{90}$ is $\frac{5}{6}$.
Steps to Solve
- Find the GCD of 75 and 90
To simplify the fraction $\frac{75}{90}$, we first need to find the greatest common divisor (GCD) of 75 and 90.
The factors of 75 are: 1, 3, 5, 15, 25, 75.
The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
The largest common factor is 15. So, $GCD(75, 90) = 15$.
- Divide the numerator and denominator by the GCD
Now that we have the GCD, we can simplify the fraction by dividing both the numerator and the denominator by 15:
$$ \frac{75 \div 15}{90 \div 15} = \frac{5}{6} $$
- State the simplified fraction
Thus, the simplified fraction of $\frac{75}{90}$ is $\frac{5}{6}$.
The simplified form of the fraction $\frac{75}{90}$ is $\frac{5}{6}$.
More Information
When simplifying fractions, finding the GCD helps eliminate common factors, making the fraction easier to handle. The process can be applied to any fraction to find its simplest form.
Tips
- Not finding the GCD correctly. Ensure you list out the factors properly or use the Euclidean algorithm for larger numbers.
- Forgetting to simplify completely. Always check if the fraction can be further simplified.
