To compare the fractions [tex]\(\frac{9}{10}\)[/tex] and [tex]\(\frac{7}{5}\)[/tex], we will first convert them to decimal form.
Step 1: Convert [tex]\(\frac{9}{10}\)[/tex] to a decimal.
[tex]\[ \frac{9}{10} = 0.9 \][/tex]
Step 2: Convert [tex]\(\frac{7}{5}\)[/tex] to a decimal.
[tex]\[ \frac{7}{5} = 1.4 \][/tex]
Step 3: Compare the decimal values.
[tex]\[ 0.9 \longrightarrow ? 1.4 \][/tex]
Clearly, [tex]\(0.9\)[/tex] is less than [tex]\(1.4\)[/tex]. Hence,
[tex]\[ \frac{9}{10} < \frac{7}{5} \][/tex]
Therefore, [tex]\(\frac{9}{10}\)[/tex] is less than [tex]\(\frac{7}{5}\)[/tex].
