Sure, let's solve the problem step by step:
We are given the fractions [tex]\(\frac{9}{10}\)[/tex] and [tex]\(\frac{1}{5}\)[/tex] and need to subtract [tex]\(\frac{1}{5}\)[/tex] from [tex]\(\frac{9}{10}\)[/tex].
1. Find a common denominator:
First, we note that the denominators of the fractions are 10 and 5. The least common multiple (LCM) of 10 and 5 is 10, so we will use 10 as the common denominator.
2. Convert [tex]\(\frac{1}{5}\)[/tex] to a fraction with denominator 10:
[tex]\[
\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{2}{10}
\][/tex]
3. Write the problem with the common denominator:
[tex]\[
\frac{9}{10} - \frac{2}{10}
\][/tex]
4. Subtract the numerators, keeping the denominator the same:
[tex]\[
\frac{9 - 2}{10} = \frac{7}{10}
\][/tex]
So, the result of [tex]\(\frac{9}{10} - \frac{1}{5}\)[/tex] is [tex]\(\frac{7}{10}\)[/tex].
Thus, the correct answer is:
[tex]\(\boxed{\frac{7}{10}}\)[/tex]
