Question

6 - 9\frac{1}{4}

Explanation:

Step1: Rewrite 6 as a mixed number

To subtract a mixed number from 6, we rewrite 6 as a mixed number with a denominator of 4. So, \( 6 = 5 + 1 = 5 + \frac{4}{4} = 5\frac{4}{4} \)

Step2: Subtract the mixed numbers

Now we subtract \( 5\frac{4}{4} - 9\frac{1}{4} \). First, we subtract the whole numbers and the fractions separately. The whole numbers: \( 5 - 9 = -4 \). The fractions: \( \frac{4}{4} - \frac{1}{4} = \frac{3}{4} \). Then we combine them: \( -4 + \frac{3}{4} = -3\frac{1}{4} \) (or we can think of it as \( -(9\frac{1}{4} - 5\frac{4}{4}) = -(9\frac{1}{4} - 5\frac{4}{4}) = -(8\frac{5}{4} - 5\frac{4}{4}) = -3\frac{1}{4} \) if we borrow 1 from 9 to make the fraction part larger for subtraction, but the first method is also correct)

Answer:

\( -3\frac{1}{4} \) (or \( -\frac{13}{4} \))