Which value is ( \frac{5}{6} ) unit to the right of ( -\frac{3}{4} ) on the number line?

Correct answer: ( \frac{1}{12})

The direct answer is option A: \(1/12\). On a number line, moving to the right means adding the distance. Starting at \(-3/4\) and moving right by \(5/6\) gives \(-3/4+5/6\). The least common denominator is 12: \(-3/4=-9/12\) and \(5/6=10/12\). Therefore \(-9/12+10/12=1/12\). Option A is correct. Option B, \(-19/12\), results from adding the magnitudes while keeping the starting negative sign, which represents movement in the wrong direction. Option C, \(5/24\), comes from an incorrect denominator or arithmetic step. Option D, \(-1/12\), would represent moving left by the corresponding difference, not moving right. The phrase 'to the right' is the key: add a positive distance. Memory cue: right means plus and left means minus; then use a common denominator.