Ta có :

A = \(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}\)

A = \(\frac{1}{1}-\frac{1}{15}\)

A = \(\frac{14}{15}\)

Ủng hộ mik nhá ^_^"

\(A=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+...+\frac{1}{13}-\frac{1}{15}\)

\(A=1-\frac{1}{15}\)

\(A=\frac{14}{15}\)

Chúc bạn zui~^^

a) \(\frac{2\cdot3\cdot5}{70}=\frac{30}{70}=\frac{3}{7}\)

b) \(\frac{2\cdot6\cdot11}{33\cdot24}=\frac{2\cdot6\cdot11}{3\cdot11\cdot2\cdot2\cdot6}=\frac{1}{6}\)

c) \(\frac{21\cdot45}{9\cdot7\cdot5\cdot3}=\frac{3\cdot7\cdot5\cdot9}{9\cdot7\cdot5\cdot3}=1\)

                          Chúc bạn học tốt.

a)\(\frac{2x3x5}{70}=\frac{1x3x5}{35}=\frac{1x3x1}{7}=\frac{3}{7}\)

b)\(\frac{2x6x11}{33x24}=\frac{2x6x1}{3x24}=\frac{2x1x1}{3x4}=\frac{1x1x1}{3x2}=\frac{1}{6}\)

c)\(\frac{21x45}{9x7x5x3}=\frac{3x5}{1x1x5x3}=\frac{1x1}{1x1x1x1}=1\)

\(\left(2.8x-32\right):\frac{2}{3}=90\)

\(2.8\cdot x-32=90\cdot\frac{2}{3}\)

\(\frac{14}{5}x-32=60\)

\(\frac{14}{5}x=60+32\)

\(\frac{14}{5}x=92\)

\(x=\frac{230}{7}\)

B , c , d tương tự

Để kết quả của phép tính trên là 0 thì :

                 \(\frac{32}{46}\)X x - \(\frac{16}{23}\)X \(\frac{21}{23}\)= 0

                 \(\frac{16}{23}\)X x - \(\frac{16}{23}\)X \(\frac{21}{23}\)= 0

                           \(\frac{16}{23}\)X ( x - \(\frac{21}{23}\)) = 0

                                             x - \(\frac{21}{23}\)= 0 (   chia cả 2 vế cho \(\frac{16}{23}\))

                                                          x = 0 + \(\frac{21}{23}\)

                                                          x = \(\frac{21}{23}\)

Vậy x = \(\frac{21}{23}\)

21/23 nhe

=\(2\)x(\(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+....+\frac{1}{19}-\frac{1}{21}\))

=2x(\(\frac{1}{3}-\frac{1}{21}\))

=2x\(\frac{2}{7}\)

=\(\frac{4}{7}\)

\(A=\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{19.21}\)

\(2A=\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{19.21}\)

\(2A=\frac{2}{3}-\frac{2}{5}+\frac{2}{5}-\frac{2}{7}+...+\frac{2}{19}-\frac{2}{21}\)

\(2A=\frac{2}{3}-\frac{2}{21}\)

\(2A=\frac{4}{7}\)

\(A=\frac{2}{7}\)

45/69 và 114/183 nha

\(\frac{45}{48}\)

Đúng 100%

Đúng 100%

Đúng 100%

rút gọn là được mà ! 

\(\frac{1}{2}\)

\(a,\frac{3\times4\times7}{12\times8\times9}\)

\(=\frac{3\times4\times7}{3\times4\times8\times9}\)

\(=\frac{7}{72}\)

\(b,\frac{4\times5\times6}{12\times10\times8}\)

\(=\frac{4\times5\times3\times2}{4\times3\times5\times2\times8}\)

\(=\frac{1}{8}\)

\(c,\frac{5\times6\times7\times9}{12\times7\times27}\)

\(=\frac{5\times6\times7\times9}{6\times2\times7\times9\times3}\)

\(=\frac{5}{6}\)

\(d,\frac{5\times6\times7}{12\times14\times15}\)

\(=\frac{5\times6\times7}{6\times2\times7\times2\times5\times3}\)

\(=\frac{1}{12}\)

a) \(\frac{3\times4\times7}{12\times8\times9}=\frac{3\times4\times7}{3\times4\times8\times9}=\frac{7}{8\times9}=\frac{7}{72}\)

b) \(\frac{4\times5\times6}{12\times10\times8}=\frac{4\times5\times6}{6\times2\times2\times5\times4\times2}=\frac{1}{2\times2\times2}=\frac{1}{8}\)

c) \(\frac{5\times6\times7\times9}{12\times7\times27}=\frac{5\times6\times9}{12\times27}=\frac{5\times6\times9}{2\times6\times3\times9}=\frac{5}{2\times3}=\frac{5}{6}\)

d) \(\frac{5\times6\times7}{12\times14\times15}=\frac{5\times6\times7}{2\times6\times2\times7\times3\times5}=\frac{1}{2\times2\times3}=\frac{1}{12}\)

các bạn ơi làm nhanh giúp mình

Giúp mình nha 

Ra số nhiều nắm bạn ạ!