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选择合适的方法巧算。（建议用时10分钟）
$\frac{1}{7} × 35 + \frac{66}{7} × \frac{5}{11} + \frac{5}{7}$
$99 ÷ 99 \frac{99}{100}$
$(1 - \frac{1}{100}) × (1 - \frac{1}{101}) × (1 - \frac{1}{102}) × \dots × (1 - \frac{1}{149}) × (1 - \frac{1}{150})$
$29 \frac{1}{3} × \frac{3}{4} + 21 \frac{1}{4} × \frac{4}{5}$
$\frac{4}{1 × 5} + \frac{4}{5 × 9} + \frac{4}{9 × 13} + \frac{4}{13 × 17}$
$(2 \frac{4}{11} + 4 \frac{6}{13} + 6 \frac{8}{17}) ÷ (1 \frac{2}{11} + 2 \frac{3}{13} + 3 \frac{4}{17})$
$(1 + \frac{1}{20} + \frac{1}{21}) × (\frac{1}{20} + \frac{1}{21} + \frac{1}{22}) - (1 + \frac{1}{20} + \frac{1}{21} + \frac{1}{22}) × (\frac{1}{20} + \frac{1}{21})$
$\frac{1}{7} × 35 + \frac{66}{7} × \frac{5}{11} + \frac{5}{7}$
$99 ÷ 99 \frac{99}{100}$
$(1 - \frac{1}{100}) × (1 - \frac{1}{101}) × (1 - \frac{1}{102}) × \dots × (1 - \frac{1}{149}) × (1 - \frac{1}{150})$
$29 \frac{1}{3} × \frac{3}{4} + 21 \frac{1}{4} × \frac{4}{5}$
$\frac{4}{1 × 5} + \frac{4}{5 × 9} + \frac{4}{9 × 13} + \frac{4}{13 × 17}$
$(2 \frac{4}{11} + 4 \frac{6}{13} + 6 \frac{8}{17}) ÷ (1 \frac{2}{11} + 2 \frac{3}{13} + 3 \frac{4}{17})$
$(1 + \frac{1}{20} + \frac{1}{21}) × (\frac{1}{20} + \frac{1}{21} + \frac{1}{22}) - (1 + \frac{1}{20} + \frac{1}{21} + \frac{1}{22}) × (\frac{1}{20} + \frac{1}{21})$
答案
1. 10
2. $\frac{100}{101}$
3. $\frac{33}{50}$
4. 39
5. $\frac{16}{17}$
6. 2
7. $\frac{1}{22}$
2. $\frac{100}{101}$
3. $\frac{33}{50}$
4. 39
5. $\frac{16}{17}$
6. 2
7. $\frac{1}{22}$
