2.67 as a fraction
Understand the Problem
The question is asking us to convert the decimal number 2.67 into a fraction. This involves expressing the decimal as a fraction where both the numerator and denominator are integers.
Answer
\frac{267}{100}
Answer for screen readers
Therefore, $2.67$ as a fraction is $\frac{267}{100}$
Steps to Solve
- Write the given decimal as a fraction
We start with the decimal number $2.67$ and express it as a fraction with $1$ in the denominator:
$$ rac{2.67}{1}$$
- Eliminate the decimal point
To eliminate the decimal point, multiply both the numerator and the denominator by $100$ (since $2.67$ has two decimal places):
$$ rac{2.67 imes 100}{1 imes 100} = rac{267}{100}$$
- Simplify the fraction (if necessary)
Check if the fraction can be simplified by finding the greatest common divisor (GCD) of 267 and 100. Since 267 and 100 have no common factors other than 1, the fraction is already in its simplest form.
Therefore, $2.67$ as a fraction is $\frac{267}{100}$
More Information
A fun fact: Any terminating decimal can be converted into a fraction by following a similar process of eliminating the decimal point.
Tips
A common mistake is not multiplying both the numerator and the denominator by the correct power of 10 to eliminate the decimal. Always count the number of decimal places to determine the correct power of 10 to use.
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