Question

9 1/2 - 1/4

Answer 1

To subtract \( \frac{1}{4} \) from \( 9 \frac{1}{2} \), we can start by converting the mixed number into an improper fraction.

1. Convert \( 9 \frac{1}{2} \) into an improper fraction:
\[ 9 \frac{1}{2} = \frac{9 \cdot 2 + 1}{2} = \frac{18 + 1}{2} = \frac{19}{2} \]

2. Now, you want to subtract \( \frac{1}{4} \) from \( \frac{19}{2} \). To do this, we need a common denominator. The least common multiple of 2 and 4 is 4.

3. Convert \( \frac{19}{2} \) to a fraction with a denominator of 4:
\[ \frac{19}{2} = \frac{19 \cdot 2}{2 \cdot 2} = \frac{38}{4} \]

4. Now, perform the subtraction:
\[ \frac{38}{4} - \frac{1}{4} = \frac{38 - 1}{4} = \frac{37}{4} \]

5. Finally, convert \( \frac{37}{4} \) back into a mixed number if desired:
- Divide 37 by 4, which goes 9 times with a remainder of 1.
- Thus, \( \frac{37}{4} = 9 \frac{1}{4} \).

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