What is 8/10 in simplest form?
Understand the Problem
The question is asking for the simplest form of the fraction 8/10. To solve this, we need to find the greatest common divisor (GCD) of the numerator and denominator and divide both 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
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Identify the numerator and denominator
The numerator is 8 and the denominator is 10. -
Find the greatest common divisor (GCD)
To simplify the fraction, we need to find the GCD of 8 and 10.
The GCD of 8 and 10 is 2, since it is the largest number that divides both without leaving a remainder. -
Divide numerator and denominator by their GCD
Now we divide both the numerator and the denominator by their GCD (2):
$$ \frac{8 \div 2}{10 \div 2} = \frac{4}{5} $$ -
Write the simplest form
The simplest form of the fraction ( \frac{8}{10} ) is ( \frac{4}{5} ).
The simplest form of the fraction ( \frac{8}{10} ) is ( \frac{4}{5} ).
More Information
When simplifying fractions, always look for the GCD to reduce them to their simplest forms. This process can apply to any fraction, not just ( 8/10 ).
Tips
- Confusing the numerator and denominator when identifying which to divide.
- Forgetting to reduce both the numerator and denominator by the GCD, leading to incomplete simplification.
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