Question

11 1/4 - 1 3/4

Answer 1

To subtract \( 1 \frac{3}{4} \) from \( 11 \frac{1}{4} \), we can follow these steps:

1. Convert the mixed numbers to improper fractions.

- \( 11 \frac{1}{4} = \frac{11 \times 4 + 1}{4} = \frac{44 + 1}{4} = \frac{45}{4} \)
- \( 1 \frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4} \)

2. Now subtract the improper fractions:

\[
\frac{45}{4} - \frac{7}{4} = \frac{45 - 7}{4} = \frac{38}{4}
\]

3. Simplify \( \frac{38}{4} \):

\[
\frac{38 \div 2}{4 \div 2} = \frac{19}{2}
\]

4. Convert \( \frac{19}{2} \) back to a mixed number:

\[
19 \div 2 = 9 \text{ R } 1 \quad \Rightarrow \quad 9 \frac{1}{2}
\]

So, \( 11 \frac{1}{4} - 1 \frac{3}{4} = 9 \frac{1}{2} \).