Question

1. a,23/27-(11/17-4/27) +(28/17)       b,2/3 .7/9 +2/3 .2/9-2/9         c,7/3:5/11-1/3.11/5    d,(1+1/2) .(1+1/3) .(1+1/4).......(1+1/2023) e, (1-1/2).(1-1/3).....(1-1/2023)     f,13/17.5/11-7/13.2/5+5/11.4/17-2/5.6/13    g, 1/2+1/3.1/4-1/5:1/6         2,so sánh n+2/n+3 và n+1/n+2 ( n là số tự nhiên)

Answer 1

1:

a: =23/27-11/17+4/27+28/17

=23/27+4/27+28/17-11/17

=1+1=2

b: \(=\dfrac{2}{3}\cdot\left(\dfrac{7}{9}+\dfrac{2}{9}\right)-\dfrac{2}{9}\)

=2/3-2/9

=6/9-2/9

=4/9

c: \(=\dfrac{11}{5}\cdot\dfrac{7}{3}-\dfrac{1}{3}\cdot\dfrac{11}{5}\)

=11/5(7/3-1/3)

=11/5*2

=22/5

d: \(=\dfrac{3}{2}\cdot\dfrac{4}{3}\cdot...\cdot\dfrac{2024}{2023}=\dfrac{2024}{2}=1012\)

e: \(=\dfrac{1}{2}\cdot\dfrac{2}{3}\cdot...\cdot\dfrac{2022}{2023}=\dfrac{1}{2023}\)