Simplify 80/100 as fully as possible.
Understand the Problem
The question is asking to simplify the fraction 80/100 to its simplest form.
Answer
The simplified form of $ \frac{80}{100} $ is $ \frac{4}{5} $.
Answer for screen readers
The simplified form of $ \frac{80}{100} $ is $ \frac{4}{5} $.
Steps to Solve
- Find the Greatest Common Divisor (GCD)
To simplify the fraction $ \frac{80}{100} $, we first need to find the GCD of the numerator (80) and the denominator (100). The factors of 80 are:
- 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
The factors of 100 are:
- 1, 2, 4, 5, 10, 20, 25, 50, 100
The greatest common factor is 20.
- Divide the numerator and denominator by the GCD
Now that we have the GCD, we divide both the numerator and the denominator by 20.
$$ \frac{80 \div 20}{100 \div 20} $$
This simplifies to:
$$ \frac{4}{5} $$
- Write the simplified fraction
Thus, $ \frac{80}{100} $ as fully simplified is $ \frac{4}{5} $.
The simplified form of $ \frac{80}{100} $ is $ \frac{4}{5} $.
More Information
Simplifying fractions helps in understanding ratios better and making them easier to work with. In this case, $ 80 $ and $ 100 $ are both divisible by $ 20 $, which allows for straightforward simplification.
Tips
- Failing to find the GCD correctly can lead to incorrect simplifications.
- Dividing only one part of the fraction instead of both the numerator and denominator.
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