what is 8/10 in simplest form
Understand the Problem
The question is asking how to simplify the fraction 8/10 to its simplest form. To solve this, we will find the greatest common divisor (GCD) of 8 and 10 and divide both the numerator and the denominator by that number.
Answer
The simplest form of the fraction \( \frac{8}{10} \) is \( \frac{4}{5} \).
Answer for screen readers
The simplest form of the fraction ( \frac{8}{10} ) is ( \frac{4}{5} ).
Steps to Solve
- Find the GCD of 8 and 10
To simplify the fraction, we need to find the greatest common divisor (GCD) of 8 and 10.
The factors of 8 are: 1, 2, 4, 8
The factors of 10 are: 1, 2, 5, 10
The greatest common factor is 2.
- Divide the numerator and denominator by the GCD
Now, we divide both the numerator and denominator of the fraction by the GCD, which is 2.
$$ \text{Numerator: } \frac{8}{2} = 4 $$
$$ \text{Denominator: } \frac{10}{2} = 5 $$
- Write the simplified fraction
Now that we have both the simplified numerator and denominator, we can write the simplest form of the fraction.
$$ \frac{8}{10} = \frac{4}{5} $$
The simplest form of the fraction ( \frac{8}{10} ) is ( \frac{4}{5} ).
More Information
Simplifying fractions is an important skill, as it helps make numbers easier to interpret and work with. The process of finding the GCD can also be applied to other fractions for simplification.
Tips
- Forgetting to find the GCD correctly can lead to an incorrect simplification. Always double-check the factors.
- Not dividing both the numerator and the denominator by the same number. Ensure that both parts are divided by the GCD.
