Subtract as indicated. Express your answer in lowest terms.

Question

       
minusseven fourths
minusStartFraction 1 Over 2 x EndFraction

Answer 1

To subtract \(-\frac{7}{4}\) from \(-\frac{1}{2}x\), we need to express everything with a common denominator.

1. Rewrite \(-\frac{1}{2}x\) with a denominator of 4: \[ -\frac{1}{2}x = -\frac{2}{4}x \]

2. Now perform the subtraction: \[ -\frac{2}{4}x - \left(-\frac{7}{4}\right) = -\frac{2}{4}x + \frac{7}{4} \]

3. Combine the terms: \[ = \frac{7}{4} - \frac{2}{4}x \]

So, the final answer is: \[ \frac{7}{4} - \frac{2}{4}x \] or simply, \[ \frac{7}{4} - \frac{1}{2}x \quad \textrm{(since \(-\frac{2}{4} = -\frac{1}{2}\))} \]