Multiply and simplify:
\[
\frac{1}{2}x\left(2 \frac{1}{6} + \frac{7}{8}\right)
\]
A. \(\frac{29}{48}\)
B. \(1 \frac{1}{24}\)
C. \(1 \frac{25}{28}\)
D. \(2 \frac{25}{28}\)
Answer (2)
2 1 ∗ ( 2 6 1 + 8 7 ) 2 1 ∗ ( 6 13 + 8 7 ) 2 1 ∗ ( 6 ∗ 4 13 ∗ 4 + 8 ∗ 3 7 ∗ 3 ) 2 1 ∗ ( 24 52 + 24 21 ) 2 1 ∗ ( 24 73 ) 2 ∗ 24 1 ∗ 73 48 73 1 48 25
After simplifying the expression, we find that the solution is 1 48 25 . Therefore, the correct answer is option B. This process involved converting mixed numbers to improper fractions, finding a common denominator, and simplifying the result.
;
