Solve the following multiplication and division problems, and add/subtract fractions.

$$
4,284 \div 18 = 238
$$
The answer is $\boxed{238}$.

$$
6,438 \times 46 = 296,148
$$
The answer is $\boxed{296,148}$.

$$
117 \div 38 = 3 \text{ with a remainder of } 3
$$
This can be written as a mixed number:
$$
3 \frac{3}{38}
$$
The answer is $\boxed{3 \frac{3}{38}}$.

$$
154 \times 72 = 11,088
$$
The library can hold $\boxed{11,088 \text{ books}}$.

$$
5 \frac{8}{12} - 2 \frac{3}{6} = 5 \frac{2}{3} - 2 \frac{1}{2}
$$

$$
5 \frac{2 \times 2}{3 \times 2} - 2 \frac{1 \times 3}{2 \times 3} = 5 \frac{4}{6} - 2 \frac{3}{6}
$$

$$
(5-2) + \left(\frac{4}{6} - \frac{3}{6}\right) = 3 + \frac{1}{6}
$$
The answer is $\boxed{3 \frac{1}{6}}$.

$$
3 \frac{1 \times 11}{3 \times 11} + 5 \frac{4 \times 3}{11 \times 3} = 3 \frac{11}{33} + 5 \frac{12}{33}
$$

$$
(3+5) + \left(\frac{11}{33} + \frac{12}{33}\right) = 8 + \frac{23}{33}
$$
The answer is $\boxed{8 \frac{23}{33}}$.

$$
7 \frac{6}{10} - 3 \frac{1}{5} = 7 \frac{3}{5} - 3 \frac{1}{5}
$$

$$
(7-3) + \left(\frac{3}{5} - \frac{1}{5}\right) = 4 + \frac{2}{5}
$$
The answer is $\boxed{4 \frac{2}{5}}$.

$$
\frac{3}{8} + \frac{2}{16}
$$

$$
\frac{3 \times 2}{8 \times 2} + \frac{2}{16} = \frac{6}{16} + \frac{2}{16}
$$

$$
\frac{6+2}{16} = \frac{8}{16}
$$

$$
\frac{8}{16} = \frac{1}{2}
$$
Carrie made $\boxed{\frac{1}{2} \text{ quart of juice}}$.

$$
\frac{4}{8} + \frac{2}{16}
$$

$$
\frac{1}{2} + \frac{1}{8} = \frac{4}{8} + \frac{1}{8} = \frac{5}{8}
$$