Question

4⅕-2⅘
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Answer 1

To subtract the mixed numbers \( 4 \frac{1}{5} \) and \( 2 \frac{4}{5} \), we can follow these steps:

### Step 1: Convert the mixed numbers to improper fractions.

1. For \( 4 \frac{1}{5} \):
\[
4 \frac{1}{5} = \frac{(4 \times 5) + 1}{5} = \frac{20 + 1}{5} = \frac{21}{5}
\]

2. For \( 2 \frac{4}{5} \):
\[
2 \frac{4}{5} = \frac{(2 \times 5) + 4}{5} = \frac{10 + 4}{5} = \frac{14}{5}
\]

### Step 2: Subtract the improper fractions.

Now we can perform the subtraction:
\[
\frac{21}{5} - \frac{14}{5}
\]

Since both fractions have the same denominator, we can simply subtract the numerators:
\[
\frac{21 - 14}{5} = \frac{7}{5}
\]

### Step 3: Convert the result back to a mixed number.

Now, convert \( \frac{7}{5} \) back to a mixed number:
1. Divide the numerator by the denominator:
- \( 7 \div 5 = 1 \) with a remainder of \( 2 \).
2. So, \( \frac{7}{5} \) can be expressed as:
\[
1 \frac{2}{5}
\]

### Final Answer

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