Tính nhanh 5/8+5/24+5/48+......+5/9800

Giải giúp mình với đi

a, \(\dfrac{4}{7}\). \(\dfrac{a}{b}\) - \(\dfrac{1}{3}\) = \(\dfrac{1}{21}\)

     \(\dfrac{4}{7}\).\(\dfrac{a}{b}\)        =   \(\dfrac{1}{21}\) + \(\dfrac{1}{3}\)

     \(\dfrac{4}{7}\).\(\dfrac{a}{b}\)        = \(\dfrac{8}{21}\)

          \(\dfrac{a}{b}\)       = \(\dfrac{8}{21}\):\(\dfrac{4}{7}\)

           \(\dfrac{a}{b}\)      = \(\dfrac{2}{3}\)

b, \(\dfrac{a}{b}\) + \(\dfrac{2}{3}\).\(\dfrac{1}{3}\) = \(\dfrac{2}{3}\)

     \(\dfrac{a}{b}\) + \(\dfrac{2}{9}\) = \(\dfrac{2}{3}\)

      \(\dfrac{a}{b}\)        = \(\dfrac{2}{3}\) - \(\dfrac{2}{9}\)

       \(\dfrac{a}{b}\)       = \(\dfrac{4}{9}\)

c, \(\dfrac{a}{b}\) - \(\dfrac{1}{2}.\)\(\dfrac{2}{3}\) = \(\dfrac{2}{7}\)

    \(\dfrac{a}{b}\) - \(\dfrac{1}{3}\)     = \(\dfrac{2}{7}\)

    \(\dfrac{a}{b}\)           = \(\dfrac{2}{7}\) + \(\dfrac{1}{3}\)

    \(\dfrac{a}{b}\)          = \(\dfrac{13}{21}\)

d, \(\dfrac{11}{13}\): \(\dfrac{a}{b}\): \(\dfrac{2}{3}\) = 2\(\dfrac{7}{13}\)

     \(\dfrac{11}{13}\): \(\dfrac{a}{b}\):\(\dfrac{2}{3}\) = \(\dfrac{33}{13}\)

      \(\dfrac{11}{13}\): \(\dfrac{a}{b}\)    = \(\dfrac{33}{13}\) \(\times\) \(\dfrac{2}{3}\)

       \(\dfrac{11}{13}\): \(\dfrac{a}{b}\)   = \(\dfrac{66}{39}\)

                \(\dfrac{a}{b}\) = \(\dfrac{11}{13}\) : \(\dfrac{66}{39}\)

                 \(\dfrac{a}{b}\) = \(\dfrac{1}{2}\)

giúp mình với

\(\left|x-\dfrac{5}{2}\right|-\dfrac{1}{2}=\dfrac{9}{2}\)

\(\left|x-\dfrac{5}{2}\right|\)         \(=\dfrac{9}{2}+\dfrac{1}{2}=\dfrac{10}{2}=5\)

\(\text{Vậy }x-\dfrac{5}{2}=5\)

       \(x\)          \(=5+\dfrac{5}{2}=\dfrac{15}{2}\)

\(\text{hoặc }x-\dfrac{5}{2}=-5\)

         \(x\)        \(=\left(-5\right)+\dfrac{5}{2}=\dfrac{-5}{2}\)

\(\Rightarrow x\in\left\{\dfrac{15}{2};\left(\dfrac{-5}{2}\right)\right\}\)

\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{5}{2}=5\\x-\dfrac{5}{2}=-5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{15}{2}\\x=-\dfrac{5}{2}\end{matrix}\right.\)

Tớ ko có hiểu đề cho lắm

a) B = 5/16 : 0,125 - ( 9/4 - 0,6 ) * 10/11

B = 5/16 * 8 - 9/4 * 10/11 + 0,6 * 10/11

B = 5/2 - 45/22 + 3/11

B = 55/22 - 45/22 + 6/22

B = 8/11

b) \(\left(\frac{1}{2}+1\right)\left(\frac{1}{3}+1\right).....\left(\frac{1}{99}+1\right)\)

\(=\frac{3}{2}.\frac{4}{3}.\frac{5}{4}.....\frac{100}{99}\)

\(=\frac{3.4.5.....100}{2.3.4.....99}\)

\(=\frac{\left(3.4.....99\right).100}{2\left(3.4.....99\right)}\)

\(=\frac{100}{2}\)

\(=50\)

a)B= 5/6 : 1/8 - (9/4 - 3/5 ) * 10/11

= 5/2 - 33/20 * 10/11

= 5/2 - 3/2

= 1

b) 3/2.4/3.5/4....100/99

= 3.4.5...100/2.3.4...99

=100/2

=50

ko biet nha ban

chuc ban hoc gioi

tk minh nha

ko biet nha ban

chuc ban hoc gioi

tk minh nha