Question

matilda is solving 5 3/5 − 4 1/5, the answer should be a mixed number

Answer 1

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

1. **Convert the mixed numbers to improper fractions**:

- \( 5 \frac{3}{5} = 5 + \frac{3}{5} = \frac{5 \times 5}{5} + \frac{3}{5} = \frac{25 + 3}{5} = \frac{28}{5} \)
- \( 4 \frac{1}{5} = 4 + \frac{1}{5} = \frac{4 \times 5}{5} + \frac{1}{5} = \frac{20 + 1}{5} = \frac{21}{5} \)

2. **Substitute the improper fractions into the equation**:

\[
\frac{28}{5} - \frac{21}{5}
\]

3. **Subtract the fractions** (since they have the same denominator):

\[
\frac{28 - 21}{5} = \frac{7}{5}
\]

4. **Convert the improper fraction back to a mixed number**:

- Divide the numerator by the denominator: \( 7 \div 5 = 1 \) remainder \( 2 \).
- This gives us \( 1 \frac{2}{5} \).

So, the answer to \( 5 \frac{3}{5} - 4 \frac{1}{5} \) as a mixed number is \( \mathbf{1 \frac{2}{5}} \).