Question

Subtract 8 5/10 - 4 2/5 (1 point) Responses 4110 41 tenth 4 35 4 35 4310

Answer 1

To subtract \( 8 \frac{5}{10} - 4 \frac{2}{5} \), we first need to convert both mixed numbers into improper fractions.

1. Convert \( 8 \frac{5}{10} \):

\[
8 \frac{5}{10} = \frac{8 \cdot 10 + 5}{10} = \frac{80 + 5}{10} = \frac{85}{10}
\]

2. Convert \( 4 \frac{2}{5} \):

To convert \( \frac{2}{5} \) to have a denominator of 10, we multiply by 2:

\[
4 \frac{2}{5} = 4 + \frac{2 \cdot 2}{5 \cdot 2} = 4 + \frac{4}{10} = \frac{4 \cdot 10 + 4}{10} = \frac{40 + 4}{10} = \frac{44}{10}
\]

Now we subtract:

\[
\frac{85}{10} - \frac{44}{10} = \frac{85 - 44}{10} = \frac{41}{10}
\]

Thus, \( 8 \frac{5}{10} - 4 \frac{2}{5} = \frac{41}{10} \).

This can also be expressed as a mixed number:

\[
\frac{41}{10} = 4 \frac{1}{10}
\]

So the answer in its simplest form is:

\[
\frac{41}{10}
\]

The final answer is **\( 41/10 \)**.