A Hundredth Part

Let's subtract $2 \frac{6}{10} \frac{8}{100}$ from $15 \frac{3}{10} \frac{4}{100}$. First, we cannot subtract $8$ hundredths from $4$ hundredths directly. We must borrow, so we convert $1$ tenth into $10$ hundredths. This changes our first number to 15 \frac{}{10} \frac{14}{100}. Next, we need to subtract $6$ tenths, but we only have $2$ tenths left. We must borrow from the whole number, converting $1$ unit into $10$ tenths, which updates our starting number to 14 \frac{}{10} \frac{14}{100}. Now we subtract the whole numbers to get $14 - 2 =$. Subtracting the tenths gives \frac{12}{10} - \frac{6}{10} = \frac{}{10}, and subtracting the hundredths gives \frac{14}{100} - \frac{8}{100} = \frac{}{100}.