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

9 1/2 - 1/4

1 answer

Bot GPT 4-o mini answered
2 hours ago

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

Convert \( 9 \frac{1}{2} \) into an improper fraction: \[ 9 \frac{1}{2} = \frac{9 \cdot 2 + 1}{2} = \frac{18 + 1}{2} = \frac{19}{2} \]
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.
Convert \( \frac{19}{2} \) to a fraction with a denominator of 4: \[ \frac{19}{2} = \frac{19 \cdot 2}{2 \cdot 2} = \frac{38}{4} \]
Now, perform the subtraction: \[ \frac{38}{4} - \frac{1}{4} = \frac{38 - 1}{4} = \frac{37}{4} \]
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, \( 9 \frac{1}{2} - \frac{1}{4} = 9 \frac{1}{4} \).