8/90 simplified
Understand the Problem
The question is asking to simplify the fraction 8/90 to its lowest terms. This involves finding the greatest common divisor of the numerator and denominator and dividing both by that number.
Answer
The simplified fraction is $\frac{4}{45}$.
Answer for screen readers
The simplified form of the fraction $\frac{8}{90}$ is $\frac{4}{45}$.
Steps to Solve
- Identify the numerator and denominator
The given fraction is $\frac{8}{90}$. Here, the numerator is 8 and the denominator is 90.
- Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of 8 and 90. The factors of 8 are 1, 2, 4, and 8. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90.
The common factors are 1 and 2. The greatest common factor is 2.
- Divide the numerator and denominator by the GCD
Now, we will divide both the numerator and the denominator by the GCD, which is 2:
$$ \frac{8 \div 2}{90 \div 2} = \frac{4}{45} $$
Now the fraction is in its lowest terms.
The simplified form of the fraction $\frac{8}{90}$ is $\frac{4}{45}$.
More Information
The process of simplifying fractions is important in mathematics as it allows for easier calculations and clearer results. Understanding how to find the GCD is a useful skill in many areas of math.
Tips
- Not finding the GCD correctly. To avoid this, list all factors or use the Euclidean algorithm.
- Failing to simplify fully by not dividing both numerator and denominator by the GCD.
