26% = ?
Understand the Problem
The question is asking to find the decimal equivalent of 26%. To solve this, we will convert the percentage into a fraction and then to a decimal by dividing by 100.
Answer
The decimal equivalent of 26% is $0.26$.
Answer for screen readers
The decimal equivalent of 26% is $0.26$.
Steps to Solve
- Convert the Percentage to a Fraction
To convert 26% to a fraction, we write it as $\frac{26}{100}$.
- Simplify the Fraction (if necessary)
In this case, $\frac{26}{100}$ can be simplified. We find the greatest common divisor (GCD) of 26 and 100, which is 2.
Therefore, $$ \frac{26 \div 2}{100 \div 2} = \frac{13}{50} $$
- Convert the Fraction to Decimal
Now, to convert the fraction to a decimal, divide the numerator by the denominator: $$ 13 \div 50 = 0.26 $$
The decimal equivalent of 26% is $0.26$.
More Information
To convert a percentage to a decimal, you divide by 100. This method is useful in various mathematical calculations, such as percentages related to discounts, taxes, and statistics.
Tips
- Dividing by the wrong number: Sometimes people mistakenly divide the percentage by 10 instead of 100. Always remember to divide by 100 when converting a percentage to a decimal.
- Not simplifying the fraction: While simplification isn't strictly necessary for this conversion, it's a good practice to recognize equivalent fractions.
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