Question

an expression is shown.
\\(-\frac{4}{6} + \left(-\frac{1}{6}\
ight) + \left(-\frac{2}{6}\
ight)\\)
which fractional value is equivalent to the expression?
\\(\circ\\) a. \\(-\frac{1}{6}\\)
\\(\circ\\) b. \\(\frac{7}{6}\\)
\\(\circ\\) c. \\(\frac{1}{6}\\)
\\(\circ\\) d. \\(-\frac{7}{6}\\)

Explanation:

Step1: Combine the numerators (same denominator)

Since all fractions have a denominator of 6, we add the numerators: \(-4 + (-1) + (-2)\)
\(-4 - 1 - 2 = -7\)

Step2: Form the new fraction

The denominator remains 6, so the result is \(\frac{-7}{6}=-\frac{7}{6}\)

Answer:

D. \(-\frac{7}{6}\)