Tính bằng cách thuận tiện nhất:

2018 : 1/2 + 2018 :1/3 + 2018 : 1/4 +2018

= 2018 : 1/2 + 2018 :1/3 + 2018 : 1/4 +2018 : 1

= 2018 : (1/2 + 1/3 + 1/4 + 1 )

= 2018 : 25/12

= 968,64.

Mk ko bít đúng không nhưng mình cứ đăng lên, nếu sai thì thông cảm nhé.

thank bạn nha

(Dấu . là dấu nhân)
a/\(\dfrac{2}{5}\cdot\dfrac{4}{3}-\dfrac{2}{5}:3\)
\(=\dfrac{2}{5}\cdot\dfrac{4}{3}-\dfrac{2}{5}\cdot\dfrac{1}{3}\)
\(=\dfrac{2}{5}\cdot\left(\dfrac{4}{3}-\dfrac{1}{3}\right)\)
\(=\dfrac{2}{5}\cdot1\)
\(=\dfrac{2}{5}\)
b/\(\dfrac{2010}{2018}:\dfrac{1}{2}+\dfrac{7}{2018}:\dfrac{1}{2}\)
\(=\left(\dfrac{2010}{2018}+\dfrac{7}{2018}\right):\dfrac{1}{2}\)
\(=\dfrac{2017}{2018}:\dfrac{1}{2}\)
\(=\dfrac{2017}{2018}\cdot2\)
\(=\dfrac{2017}{1009}\)

a, \(\dfrac{2}{5}\) \(\times\) \(\dfrac{4}{3}\) - \(\dfrac{2}{5}\) : 3

=  \(\dfrac{2}{5}\) \(\times\) \(\dfrac{4}{3}\) - \(\dfrac{2}{5}\) \(\times\) \(\dfrac{1}{3}\)

= \(\dfrac{2}{5}\) \(\times\) ( \(\dfrac{4}{3}\) - \(\dfrac{1}{3}\))

= \(\dfrac{2}{5}\)  \(\times\) 1

= \(\dfrac{2}{5}\) 

b, \(\dfrac{2010}{2018}\) : \(\dfrac{1}{2}\) + \(\dfrac{7}{2018}\) : \(\dfrac{1}{2}\) + \(\dfrac{1}{2018}\) : \(\dfrac{1}{2}\)

= \(\dfrac{2010}{2018}\) \(\times\) \(\dfrac{2}{1}\) + \(\dfrac{7}{2018}\) \(\times\) \(\dfrac{2}{1}\) + \(\dfrac{1}{2018}\) \(\times\) \(\dfrac{2}{1}\)

= \(\dfrac{2}{1}\) \(\times\) ( \(\dfrac{2010}{2018}\) + \(\dfrac{7}{2018}\) + \(\dfrac{1}{2018}\))

= 2 \(\times\) \(\dfrac{2018}{2018}\)

= 2 \(\times\) 1

= 2

\(2018\cdot2018-2017\cdot2019\)

\(=2018^2-\left(2018-1\right)\left(2018+1\right)\)

\(=2018^2-\left(2018^2-1\right)\)

\(=2018^2-2018^2+1\)

\(=1\)

\(2018.2018-2017.2019\)

\(=2018^2-\left(2018-1\right)\left(2018+1\right)\)

  \(=2018^2-\left(2018^2-1\right)\)

  \(=2018^2-2018^2+1\)

  \(=1\)

\(\dfrac{2017}{2016}\) và \(\dfrac{2017}{2018}\)

C1: Đây là 2 phân số cùng mẫu:

Vì 2016 < 2018 nên \(\dfrac{2017}{2016}>\dfrac{2017}{2018}\)

C2: So sánh với 1.

Vì \(\dfrac{2017}{2016}>1>\dfrac{2017}{2018}\) nên \(\dfrac{2017}{2016}>\dfrac{2017}{2018}\)

Ở trên là 2 phương pháp giải thuận tiện nhất.

C1 là 2 phân số cùng tử số mới đúng nhé, ghi nhầm. Nhưng còn cách so sánh thì đúng cả rồi ạ.

\(2018\times\frac{3}{4}+2018\times\frac{1}{4}-2018\)

\(=2018\times\left(\frac{3}{4}+\frac{1}{4}-1\right)\)

\(=2018\times0=0\)

B-a:tương tự bài A

b,\(\frac{14}{18}\times\frac{8}{5}-\frac{7}{9}\times\frac{3}{5}\)

\(=\frac{7}{9}\times\frac{8}{5}-\frac{7}{9}\times\frac{3}{5}\)

\(=\frac{7}{9}\times\left(\frac{8}{5}-\frac{3}{5}\right)\)

\(=\frac{7}{9}\times1=\frac{7}{9}\)\

thanks

B-a,\(\frac{3\times125+3\times125}{6\times43+6\times57}=\frac{2\times3\times125}{6\times\left(43+57\right)}\)

\(=\frac{3\times250}{6\times100}=\frac{5}{2\times2}=\frac{5}{4}\)

thanks

\(\frac{2017}{2018}\)x\(\frac{7}{8}\)+\(\frac{2017}{2018}\)x\(\frac{3}{8}\)-\(\frac{2017}{2018}\)x\(\frac{1}{4}\)

= \(\frac{2017}{2018}\)x  (\(\frac{7}{8}\)+\(\frac{3}{8}\)-\(\frac{1}{4}\))

= \(\frac{2017}{2018}\)x  ( \(\frac{10}{8}\)- \(\frac{1}{4}\))

= \(\frac{2017}{2018}\)x ( \(\frac{10}{8}\)- \(\frac{2}{8}\))

= \(\frac{2017}{2018}\)x  1

= \(\frac{2017}{2018}\)

Chúc em học tốt nhé :>

=2017/2018*(7/8+3/8)-2017*1/4

=2017/2018*5/4+2017*-1/4

=2017/2018*(5/4-1/4)

=2017/2018*1

=2017/2018