Simplify 40/100 as fully as possible.
Understand the Problem
The question is asking to simplify the fraction 40/100 to its simplest form.
Answer
The simplified form of $\frac{40}{100}$ is $\frac{2}{5}$.
Answer for screen readers
The simplified form of $\frac{40}{100}$ is $\frac{2}{5}$.
Steps to Solve
- Find the greatest common divisor (GCD)
To simplify the fraction $\frac{40}{100}$, first identify the greatest common divisor (GCD) of the numerator (40) and the denominator (100). The GCD of 40 and 100 is 20.
- Divide both numerator and denominator by the GCD
Now, divide both the numerator and the denominator by the GCD:
$$ \frac{40 \div 20}{100 \div 20} = \frac{2}{5} $$
- Final simplified form
After the division, the fraction is simplified to $\frac{2}{5}$.
The simplified form of $\frac{40}{100}$ is $\frac{2}{5}$.
More Information
The process of simplifying fractions involves reducing the numerator and the denominator by their greatest common divisor (GCD). In this case, both 40 and 100 can be evenly divided by 20, leading to the simplest form.
Tips
- Not finding the GCD: Skipping the step of identifying the GCD can lead to incorrect simplifications.
- Dividing incorrectly: Make sure to divide both the numerator and denominator by the same number.
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