\(=1\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)\)

\(=1\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-...+\frac{1}{9}-\frac{1}{10}\right)\)

\(=1-\frac{1}{10}\)

\(=\frac{9}{10}\)

1/2-1/10=2/5

Chúc bạn may mắn@

Ta có :\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}\)  ( ghi sai đề nha ! ) 

= \(\frac{32}{32}-\frac{1}{32}\)=\(\frac{31}{32}\)

đăng kí kênh của v-i-s nha !

\(\frac{45.16-17}{45.15+28}=\frac{45.15+45-17}{45.15+28}=\frac{45.15+28}{45.15+28}=1\)

45 × 16 - 17/45 × 15 + 28

= 45 × (15 + 1) - 17/45 × 15 + 28

= 45 × 15 + (45 - 17)/45 × 15 + 28

= 45 × 15 + 28/45 × 15 + 28

= 1

17947

a) \(\frac{45x16-17}{45x15+28}=\frac{45x\left(15+1\right)-17}{45x15+28}\)\(=\frac{45x15+45-17}{45x15+28}=\frac{45x15+28}{45x15+28}=1\)

b) \(5\frac{3}{4}x2\frac{1}{2}+\frac{7}{2}:1\frac{1}{4}=\frac{23}{4}x\frac{5}{2}+\frac{7}{2}:\frac{5}{4}=\frac{115}{8}+\frac{7}{2}x\frac{4}{5}=\frac{115}{8}+\frac{14}{5}=\frac{575+112}{40}=\frac{678}{40}\)

\(=\frac{4}{3}x\frac{9}{8}x\frac{16}{15}x\frac{25}{24}x...x\frac{100}{99}\)

\(=\frac{2x2x3x3x4x4x5x5x6x6x7x7x8x8x9x9x10x10}{1x3x2x4x3x5x4x6x5x7x6x8x7x9x8x10x9x11}=\frac{2x10}{11}=\frac{20}{11}\)

Lưu Hạ Băng

Ta có : \(1\frac{1}{3}x1\frac{1}{8}x1\frac{1}{15}x1\frac{1}{24}x...x1\frac{1}{99}\)

    \(=\frac{4}{3}x\frac{9}{8}x\frac{16}{15}x\frac{25}{24}x...x\frac{100}{99}\)

    \(=\frac{2x2}{1x3}x\frac{3x3}{2x4}x\frac{4x4}{3x5}x\frac{5x5}{4x6}x...x\frac{10x10}{9x11}\)     

    \(=\frac{2x2x3x3x4x4x5x5x...x10x10}{1x3x2x4x3x5x4x6x...x9x11}\)

    \(=\frac{\left(2x3x4x5x...x10\right)x\left(2x3x4x5x...x10\right)}{\left(1x2x3x4x...x9\right)x\left(3x4x5x6x...x11\right)}\)

    \(=\frac{10x2}{1x11}\)

    \(=\frac{20}{11}\)

Chúc bn học tốt !!!

                    Kb vs mk heg =)) ^^

lớp 4 mình đã học rùi

để mình giải cho\(\frac{45X16-17}{45X15+28}=\frac{45X\left(15+1\right)-17}{45X15+28}=\frac{45X15+45X1-17}{45X15+28}=\frac{45X15+45-17}{45X15+28}\)=\(\frac{45X15+28}{45X15+28}\)

rút gọn đi ta được 1 

Đáp số 1