-5 phan14 và 30 phân -84 có bằng nhau không tại sao

chào anh coolkid em xin phép giải

ta nhân 17 với vế trái ta có:

\(17VT=17\cdot\frac{\left(17^{18}+1\right)}{17^{19}+1}\)

\(17VT=\frac{17^{19}+17}{17^{19}+1}\)

\(17VT=\frac{\left(17^{19}+1\right)+16}{17^{19}+1}\)

=> \(17VT=1+\frac{16}{17^{19}+1}\)

ta rút gọn biểu thức ở vế phải

\(\Rightarrow VP=\frac{\left(17^{18}+17\right)}{17^{19}+17}=\frac{17\cdot\left(17^{17}+1\right)}{17\cdot\left(17^{18}+1\right)}=\frac{17^{17}+1}{17^{18}+1}\)

\(\Rightarrow17VP=17\cdot\frac{17^{17}+1}{17^{18}+1}\)

\(17VP=\frac{\left(17^{18}+17\right)}{17^{18}+1}\)

\(17VP=1+\frac{16}{17^{18}+1}\)

mà ta có \(17^{19}+1>17^{18}+1\)

=> \(\frac{16}{17^{19}+1}<\frac{16}{17^{18}+1}\)

=> \(17VT<17VP\)

=> \(VT<VP\) (đpcm)

\(\dfrac{48}{19}\)

\(\dfrac{8}{5}\)

48/19

8/5

15. A ( mk ko chắc)
16. C
17. B
18. A
19. B
20. A

sai cho mk xl

A<B

Trả lời

Sửa đề câu a 1 tí

a)39/16:5/8-17/16:5/8+4/5

=(39/16-17/16):5/8+4/5

=11/8:5/8+4/5

=11/5+4/5

=15/5=3

b)16/17.12/19+16/17.7/19-2/3

=16/17.(12/19+7/19)-2/3

=16/17-2/3

=48/56-14/56

=34/56=17/28

Học tốt !

\(a,\dfrac{13}{19}+\dfrac{18}{19}+\dfrac{17}{19}=\dfrac{13+18+17}{19}=\dfrac{48}{19}\\ b,\dfrac{3}{5}+\dfrac{3}{16}+\dfrac{13}{16}=\dfrac{3}{5}+\left(\dfrac{3}{16}+\dfrac{13}{16}\right)=\dfrac{3}{5}+\dfrac{16}{16}=\dfrac{3}{5}+1=\dfrac{3}{5}+\dfrac{5}{5}=\dfrac{8}{5}\)

\(a\dfrac{13+18+17}{19}=\dfrac{48}{19}\)

\(b\dfrac{3}{5}+\dfrac{3+13}{16}=\dfrac{3}{5}+1=\dfrac{3}{5}+\dfrac{5}{5}=\dfrac{8}{5}\)

16< x < 19

vì 16 < 17 < 18 < 19

vậy x = 17; 18

vì x là số chẵn vậy x = 18

Chọn C. 18 

C.18

M = \(15.\left(\frac{1}{15.16}+\frac{1}{16.17}+...+\frac{1}{19.20}\right)\)
= \(15.\left(\frac{1}{15}-\frac{1}{16}+\frac{1}{16}-\frac{1}{17}+...+\frac{1}{19}-\frac{1}{20}\right)\)
= \(15.\left(\frac{1}{15}-\frac{1}{20}\right)\)
= \(15.\frac{1}{60}\)= \(\frac{1}{4}\)\(< \frac{1}{3}\)
(=) \(M< \frac{1}{3}\)\(\left(đpcm\right)\)

Ta có: \(M=\frac{15}{15.16}+\frac{15}{16.17}+\frac{15}{17.18}+\frac{15}{18.19}+\frac{15}{19.20}\)

\(\Rightarrow M=15.\left(\frac{1}{15.16}+\frac{1}{16.17}+\frac{1}{17.18}+\frac{1}{18.19}+\frac{1}{19.20}\right)\)

\(\Rightarrow M=15.\left(\frac{1}{15}-\frac{1}{16}+\frac{1}{16}-\frac{1}{17}+\frac{1}{17}-\frac{1}{18}+\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}\right)\)

\(\Rightarrow M=15.\left(\frac{1}{15}-\frac{1}{20}\right)\)

\(\Rightarrow M=15.\frac{1}{60}=\frac{1}{4}\)

Ta thấy: \(\frac{1}{4}< \frac{1}{3}\Rightarrow M< \frac{1}{3}\)

Vậy \(M< \frac{1}{3}\)

Chúc bạn học tốt!