Solve. Write a mixed numeral for the answer.
-A courier distributes packages along two routes. The northern route can be completed in $5 \frac{5}{8}$ minutes, whereas the southern route takes $4 \frac{3}{4}$ minutes. Find the total time it takes to complete the deliveries for one month if the northern route is taken 43 times and the southern route 26 times.
A) $182 \frac{11}{16} \mathrm{~min}$
B) $357 \frac{15}{16} \mathrm{~min}$
C) $365 \frac{3}{8} \min$
D) $45 \frac{43}{64} \min$

Question

Quizplus · Accepted Answer

First, convert the mixed numbers to improper fractions: $5 \frac{5}{8} = \frac{45}{8}$ and $4 \frac{3}{4} = \frac{19}{4}$. Multiply each by the number of times the route is taken: $43 \times \frac{45}{8} = \frac{1935}{8}$ and $26 \times \frac{19}{4} = \frac{494}{4}$. Convert $\frac{494}{4}$ to $\frac{987}{8}$ for a common denominator. Add the fractions: $\frac{1935}{8} + \frac{987}{8} = \frac{2922}{8}$. Simplify to $365 \frac{3}{8}$.

Solve Write a Mixed Numeral for the Answer 5585 \frac{5}{8}585​ Minutes, Whereas the Southern Route Takes

Solve Write a Mixed Numeral for the Answer $5 \frac{5}{8}$ Minutes, Whereas the Southern Route Takes