To determine which of the given fractions is equal to 0.06, we will compare each fraction with the decimal value 0.06. Let's convert each fraction to a decimal and see which one matches 0.06.
Option A: [tex]\(\frac{1}{6}\)[/tex]
To convert [tex]\(\frac{1}{6}\)[/tex] to a decimal, we perform the division:
[tex]\[ \frac{1}{6} \approx 0.1667 \][/tex]
Option B: [tex]\(\frac{1}{60}\)[/tex]
To convert [tex]\(\frac{1}{60}\)[/tex] to a decimal, we perform the division:
[tex]\[ \frac{1}{60} \approx 0.0167 \][/tex]
Option C: [tex]\(\frac{6}{10}\)[/tex]
To convert [tex]\(\frac{6}{10}\)[/tex] to a decimal, we perform the division:
[tex]\[ \frac{6}{10} = 0.6 \][/tex]
Option D: [tex]\(\frac{6}{100}\)[/tex]
To convert [tex]\(\frac{6}{100}\)[/tex] to a decimal, we perform the division:
[tex]\[ \frac{6}{100} = 0.06 \][/tex]
Thus, the fraction that equals 0.06 is [tex]\(\frac{6}{100}\)[/tex].
Therefore, the correct answer is D. [tex]\(\frac{6}{100}\)[/tex].
