=1 nha

1/2 + 1/2 =1

(1/2+1/8)+(1/4+1/16)+(1/8+1/32)+1/64

=1/10+1/20+1/40+1/64

=61/320

lấy 1/64 làm mẫu xố chung

1/64+2/64+4/64+8/64+12/64+32/64=59/64

tính cả tử số ra = 0 là xong

\(\frac{\text{25x4-0,5x40x5x0,2x20x0,25}}{\text{1+2+4+8.......+128+256}}\)= \(\frac{0}{\text{1+2+4+8.......+128+256}}\)= \(0\)

\(\frac{2}{9}:\frac{1}{0,18}+71\%\)

\(=\frac{1}{25}+\frac{71}{100}\)

\(=\frac{3}{4}\)

chúc bạn học tốt

2/9:1/18:100+72/100

=36/9:100+72/100

=4:100+0,72

=0,04+0,72

=0,76

\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}+\frac{1}{16}-\frac{1}{32}+\frac{1}{32}-\frac{1}{64}\)

\(=1-\frac{1}{64}\)

\(=\frac{63}{64}\)

      \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+\frac{1}{64}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}+\frac{1}{16}-\frac{1}{32}+\frac{1}{32}-\frac{1}{64}+\frac{1}{64}\)

\(=1-\frac{1}{64}\)

\(=\frac{63}{64}\)

sửa đề câu a  và câu b  nhá  , mik nghĩ đề như này :

  \(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{213\cdot215}\)

 \(=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{213}-\frac{1}{215}\)

= \(\frac{1}{1}-\frac{1}{215}\)

\(=\frac{214}{215}\)

b, đặt \(A=\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\frac{1}{5\cdot7}+\frac{1}{7\cdot9}+...+\frac{1}{213\cdot215}\)

    \(A\cdot2=\frac{2}{1\cdot3}+\frac{2}{3.5}+\frac{2}{5\cdot7}+\frac{2}{7\cdot9}+...+\frac{2}{213\cdot215}\)

\(A\cdot2=\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+...+\frac{1}{213}-\frac{1}{215}\)

\(A\cdot2=\frac{1}{1}-\frac{1}{215}\)

\(A\cdot2=\frac{214}{215}\)

\(A=\frac{214}{215}:2\)

\(A=\frac{107}{215}\)

@ミ★Ŧɦươйǥ★彡 cảm ơn bạn nhiều

trình bày ca lời giai

1 + 2 + 3 + 4 + x = 5460

      10            + x  =  5460

                          x  =  5460 - 10

                           x  =      5450

Cách 1: Đổi 2/4 = 12/24

Ta có: 12/24 = 4/24 + 8/24 = 1/6 + 1/3

Tính nhanh:

3/4 : 0,75 + 50% : 1/2 + 4/5 x 1 1/4

= 0,75 : 0,75 + 1/2 : 1/2 + 4/5 x 5/4

= 1 + 1 + 1 

= 3

\(=\frac{3}{4}:\frac{3}{4}+\frac{1}{2}:\frac{1}{2}+\frac{4}{5}.\frac{5}{4}\)

\(=1+1+1\)

\(=3\)

Chúc bạn học tốt