`#3107.101107`

b)

\(0,5\times\dfrac{3}{4}-\dfrac{1}{2}\times\dfrac{1}{4}\\ =\dfrac{1}{2}\times\dfrac{3}{4}-\dfrac{1}{2}\times\dfrac{1}{4}\\ =\dfrac{1}{2}\times\left(\dfrac{3}{4}-\dfrac{1}{4}\right)\\=\dfrac{1}{2}\times\dfrac{1}{2}\\ =\dfrac{1}{4}\)

=\(\frac{2}{5}+1\)

=\(\frac{7}{5}\)

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

\(=\frac{2}{5}+\left(\frac{3}{4}+\frac{1}{4}\right)\)

\(=\frac{2}{5}+1\)

\(=\frac{2}{5}+\frac{5}{5}\)

\(=\frac{7}{5}\)

Có số số hạng là:

( 300- 1) : 1+ 1 = 300

Tổng dãy số trên là:

( 300+ 1) x 300 : 2 = 45150

               Đáp số: 45150

\(...=\left(300-1+1\right)\left(1+300\right):2=300.301:2=150.301=45150\)

\(\frac{3}{1\times2}+\frac{3}{2\times3}+...+\frac{3}{5\times6}\)

\(=3\left(\frac{1}{1\times2}+\frac{1}{2\times3}+...+\frac{1}{5\times6}\right)\)

\(=3\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{5}-\frac{1}{6}\right)\)

\(=3\left(1-\frac{1}{6}\right)=3\times\frac{5}{6}=\frac{5}{2}\)

=> S=3(1/1*2+1/2*3+...........+1/5*6

=>S=3*(1-1/6)

=>S=3*5/6

=>S=5/2

 đúng 100%

`4/6 xx 1/5 + 4/6 xx 3/5 + 2/6 xx 4/5`

`= 4/6 xx (1/5 + 3/5) + 2/6 xx 4/5`

`= 4/6 xx 4/5 + 2/6 xx 4/5`

`= (4/6 +2/6) xx 4/5`

`= 6/6 xx 4/5`

`=1 xx 4/5`

`=4/5`

Em cảm ơn

\(45150\)

Số số hạng là :

  \(\dfrac{\left(300\right)}{1}+1=300\left(SSH\right)\)

Tổng dãy số trên là :

  \(\dfrac{\left(300+1\right)\times300}{2}=45150\)

  Đ/s :...

biểu thức = (2006+1)x 2006 :2=2013021

1 + 2 + 3 + 4 + ... + 2006

mấy bn giúp mik với

\(\frac{11}{2}\): \(\frac{11}{3}\): \(\frac{11}{4}\)

= \(\frac{11}{2}\): ( \(\frac{3}{11}\): \(\frac{4}{11}\)