Question

Matilda is solving 5 3/5 − 4 1/5
. What is the result? Your answer should be written as a mixed number.

Answer 1

To solve the problem \( 5 \frac{3}{5} - 4 \frac{1}{5} \), we can follow these steps:

1. **Convert the mixed numbers to improper fractions**:
- For \( 5 \frac{3}{5} \):
\[
5 \frac{3}{5} = \frac{5 \times 5 + 3}{5} = \frac{25 + 3}{5} = \frac{28}{5}
\]
- For \( 4 \frac{1}{5} \):
\[
4 \frac{1}{5} = \frac{4 \times 5 + 1}{5} = \frac{20 + 1}{5} = \frac{21}{5}
\]

2. **Subtract the improper fractions**:
\[
\frac{28}{5} - \frac{21}{5} = \frac{28 - 21}{5} = \frac{7}{5}
\]

3. **Convert the result back to a mixed number**:
\(\frac{7}{5}\) can be converted to a mixed number:
- \(7\) divided by \(5\) is \(1\) with a remainder of \(2\):
\[
\frac{7}{5} = 1 \frac{2}{5}
\]

Thus, the result of \( 5 \frac{3}{5} - 4 \frac{1}{5} \) is:
\[
\boxed{1 \frac{2}{5}}
\]