Write 26% as a fraction in simplest form.
Understand the Problem
The question is asking us to convert the percentage 26% into a fraction and then simplify it to its simplest form.
Answer
$$ \frac{13}{50} $$
Answer for screen readers
$$ \frac{13}{50} $$
Steps to Solve
- Convert percentage to a fraction
To convert 26% into a fraction, we start by expressing it as:
$$ \frac{26}{100} $$
- Simplify the fraction
Next, we need to simplify the fraction. We find the greatest common divisor (GCD) of 26 and 100, which is 2. Now we can divide both the numerator and denominator by 2:
$$ \frac{26 \div 2}{100 \div 2} = \frac{13}{50} $$
- Final answer in simplest form
Now we have simplified the fraction:
$$ 26% = \frac{13}{50} $$
$$ \frac{13}{50} $$
More Information
Converting percentages into fractions is a straightforward process, where the percentage is written over 100. Simplifying the fraction involves finding the GCD and reducing it accordingly. The fraction $\frac{13}{50}$ represents 26% of a whole.
Tips
- Not simplifying the fraction: It's easy to forget to reduce the fraction to its simplest form. Make sure to always check for the GCD.
- Incorrectly converting the percentage: Sometimes, students may place the percentage over a number other than 100, which would lead to an incorrect fraction.
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