To express a given decimal number as a fraction, we need to follow a few simple steps. Let's take the decimal number 10.5 as an example.
1. Identify the decimal part: The decimal number is 10.5.
2. Eliminate the decimal by multiplying: To get rid of the decimal point, we multiply by 10 (since there is one digit after the decimal point).
[tex]\[
10.5 \times 10 = 105
\][/tex]
3. Determine the corresponding denominator: Since we multiplied by 10 to get rid of the decimal, our denominator will be 10.
So, we can express the decimal number 10.5 as the fraction:
[tex]\[
\frac{105}{10}
\][/tex]
Therefore, the fraction representation is:
[tex]\[
(p, q) = (105, 10)
\][/tex]
Thus, the decimal 10.5 in fraction form is [tex]\( \frac{105}{10} \)[/tex].
