$A$; 5$\frac{2}{7}$ . $\frac{8}{11}$ + 5$\frac{2}{7}$ . $\frac{5}{11}$ – 5$\frac{2}{7}$ . $\frac{2}{11}$
$B$; $\frac{8}{12.13}$ + $\frac{8}{13.14}$ + … + $\frac{9}{99.100}$
$A$; 5$\frac{2}{7}$ . $\frac{8}{11}$ + 5$\frac{2}{7}$ . $\frac{5}{11}$ – 5$\frac{2}{7}$ . $\frac{2}{11}$
$B$; $\frac{8}{12.13}$ + $\frac{8}{13.14}$ + … + $\frac{9}{99.100}$
A=5/2/7.8/11+5/2/7.5/11-5/2/7.2/11(5/2/7 là hỗn số)
=5/2/7.(8/11+5/11-2/11)
=5/2/7.1
=5/2/7.
B=8/12.13+8/13.14+….+8/99.100
=8.(1/12.13+1/13.14+…+1/99/100)
=8.(1/12-1/13+1/13-1/14+…+1/99-1/100)
=8.(1/12-1/100)
=8.(25/300-3/300)
=8.11/150
=44/75.