To convert the decimal [tex]\( 0.0112 \)[/tex] to a fraction, follow these steps:
1. Write the decimal as a fraction with a power of 10 in the denominator.
The decimal [tex]\( 0.0112 \)[/tex] can be written as:
[tex]\[
\frac{0.0112}{1}
\][/tex]
2. Remove the decimal point by multiplying both the numerator and the denominator by [tex]\( 10,000 \)[/tex], since [tex]\( 0.0112 \)[/tex] has four decimal places.
[tex]\[
0.0112 = \frac{0.0112 \times 10,000}{1 \times 10,000} = \frac{112}{10,000}
\][/tex]
So, the fraction representation of [tex]\( 0.0112 \)[/tex] is:
[tex]\[
\frac{112}{10,000}
\][/tex]
Therefore, the correct choice is:
D) [tex]\(\frac{112}{10,000}\)[/tex]
