If $$A = 3\frac{1}{4} \times 4 \frac{1}{4} \div 34 - \frac{47}{32} + \frac{47}{16}$$ and $$B = 2\frac{1}{2} \times 5 \frac{1}{2} \div 55 - \frac{11}{10}$$, then what is the value of $$A - B?$$

$$A = 3\frac{1}{4} \times 4 \frac{1}{4} \div 34 - \frac{47}{32} + \frac{47}{16}$$
$$A = 3\frac{1}{4} \times  \frac{1}{8} - \frac{47}{32} + \frac{47}{16}$$
$$A = 3\frac{1}{4} \times  \frac{1}{8} +\frac{47}{32} $$
$$A = \frac{13}{32} +\frac{47}{32} $$
$$A = \frac{15}{8} $$
$$B = 2\frac{1}{2} \times 5 \frac{1}{2} \div 55 - \frac{11}{10}$$
$$B = 2\frac{1}{2} \times \frac{1}{10} - \frac{11}{10}$$
$$B =  \frac{1}{4} - \frac{11}{10}$$
$$B =   \frac{-17}{20}$$
A-B=(15/8)+(17/20)
=109/40