\(d,\dfrac{5}{7}+\dfrac{9}{23}+-\dfrac{12}{7}+\dfrac{14}{23}\)

\(=\left(\dfrac{5}{7}+\dfrac{-12}{7}\right)+\left(\dfrac{9}{23}+\dfrac{14}{23}\right)\)

\(=-\dfrac{7}{7}+\dfrac{23}{23}\)

\(=\left(-1\right)+1=0\)

\(e,\dfrac{3}{17}+-\dfrac{5}{13}+-\dfrac{18}{35}+\dfrac{14}{17}+\dfrac{17}{-35}+-\dfrac{8}{13}\)

\(=\left(\dfrac{3}{17}+\dfrac{14}{17}\right)+\left(\dfrac{-5}{13}+\dfrac{-8}{13}\right)+\left(\dfrac{-18}{35}+\dfrac{-17}{35}\right)\)

\(=\dfrac{17}{17}+\dfrac{-13}{13}+-\dfrac{35}{35}\)

\(=1+\left(-1\right)+\left(-1\right)=0+\left(-1\right)=-1\)

\(f,\dfrac{-3}{8}. \dfrac{1}{6}+\dfrac{3}{-8}.\dfrac{5}{6}+\dfrac{-10}{16}\)

\(=\dfrac{-3}{8}.\dfrac{1}{6}+\dfrac{-3}{8}.\dfrac{5}{6}+\dfrac{-10}{16}\)

\(=\dfrac{-3}{8}.\left(\dfrac{1}{6}+\dfrac{5}{6}\right)+-\dfrac{10}{16}\)

=\(\dfrac{-3}{8}.1+\dfrac{-10}{16}\)

\(=\dfrac{-3}{8}+\dfrac{-10}{16}\)

\(=\dfrac{-6}{16}+\dfrac{-10}{16}=\dfrac{-16}{16}=-1\)

\(g,\dfrac{-4}{11}.\dfrac{5}{15}.\dfrac{11}{-4}=\dfrac{-4}{11}.\dfrac{5}{15}.\dfrac{-11}{4}\)

\(=\left(\dfrac{-4}{11}.\dfrac{-11}{4}\right).\dfrac{5}{15}\)

\(=1.\dfrac{5}{15}=1.\dfrac{1}{3}=\dfrac{1}{3}\)

\(h,\dfrac{7}{36}-\dfrac{8}{-9}+\dfrac{-2}{3}=\dfrac{7}{36}-\dfrac{-8}{9}+\dfrac{-2}{3}\)

\(=\dfrac{7}{36}-\dfrac{-32}{36}+\dfrac{-24}{36}=\dfrac{7-\left(-32\right)+\left(-24\right)}{36}\)

\(=\dfrac{15}{56}=\dfrac{5}{12}\)

Tick mình nha ^^

d.\(\dfrac{5}{7}\)+\(\dfrac{9}{23}\)+\(\dfrac{12}{7}\)+\(\dfrac{14}{23}\)=(\(\dfrac{5}{7}\)+\(\dfrac{12}{7}\))+(\(\dfrac{9}{23}\)+\(\dfrac{14}{23}\))

                            =\(\dfrac{17}{7}\)+ 1 = \(\dfrac{24}{7}\)

e.\(\dfrac{3}{17}\)+\(\dfrac{-5}{13}\)+\(\dfrac{-18}{35}\)+\(\dfrac{14}{17}\)+\(\dfrac{17}{-35}\)+\(\dfrac{-8}{13}\)

=(\(\dfrac{3}{17}\)+\(\dfrac{14}{17}\))+(\(\dfrac{-5}{13}\)+\(\dfrac{-8}{13}\))+(\(\dfrac{-18}{35}\)+\(\dfrac{17}{-35}\))

= 1+ (-1) + (-1) = -1

f. \(\dfrac{-3}{8}\).\(\dfrac{1}{6}\)+\(\dfrac{3}{-8}\).\(\dfrac{5}{6}\)+\(\dfrac{-10}{16}\)=\(\dfrac{-3}{8}\)(\(\dfrac{1}{6}\)+\(\dfrac{5}{6}\)) + \(\dfrac{-5}{8}\)

                                   =\(\dfrac{-3}{8}\)+\(\dfrac{-5}{8}\)= -1

g. \(\dfrac{-4}{11}\).\(\dfrac{5}{15}\).\(\dfrac{11}{-4}\)=\(\dfrac{5}{15}\)

h.\(\dfrac{7}{36}\)-\(\dfrac{8}{-9}\)+\(\dfrac{-2}{3}\)= \(\dfrac{7}{36}\)-\(\dfrac{-32}{36}\)+\(\dfrac{-24}{36}\)

                       =\(\dfrac{-49}{36}\)

d: \(\dfrac{5}{7}+\dfrac{9}{23}+\dfrac{-12}{7}+\dfrac{14}{23}=1-1=0\)

e: \(\dfrac{3}{17}+\dfrac{-5}{13}+\dfrac{-18}{35}+\dfrac{14}{17}+\dfrac{17}{-35}+\dfrac{-8}{13}=-1-1+1=-1\)

\(\frac{123}{124}\) < \(\frac{124124}{125125}\) 

Bạn chỉ cần lấy tử chia cho mẫu là ra

Rút gọn p/s

Gữ nguyên \(\frac{123}{124}\) ->\(\frac{124124}{125125}=\frac{124}{125}\)

\(\frac{123}{124}và\frac{124}{125}\)

\(\frac{124}{125}\) đổi thành \(\frac{125}{124}\)

như vậy ta được 

\(\frac{123}{124}< \frac{125}{124}\)

nếu sai cho mk xl nha bạn

2,3 còn gọi dc là 2.30 cũng ko thay đổi giá trị nên x có thể là:

2.31

2.32

2.33

2.34

2.35

2.36

2.37

2.38

2.39

thỏa mãn đề bài

bạn ơi:2,31;

2,32

2,33;

X*3+X/0.5=12.8 ?????
 

Đặt \(\frac{1}{y}=a\)
\(\int^{2x+3a=3}_{x-2a=5}\)
\(\Leftrightarrow\int^{2x+3a=3}_{2x-4a=10}\)
\(\Leftrightarrow\int^{7a=-7}_{x-2a=5}\)
\(\Leftrightarrow\int^{a=-1}_{x+2=5}\)
\(\Leftrightarrow\int^{\frac{1}{y}=-1}_{x=3}\)
\(\Leftrightarrow\int^{x=3}_{y=-1}\)

Cảm ơn bạn Phạm Thế Mạnh nhiều nha!!

số nước cần phải đổ vào bể để bể đầy là

\(1-\frac{3}{4}=\frac{1}{4}\)(bể)

khi mở vòi nước thì số thời gian bể sẽ đầy là \(\frac{1}{4}:\frac{1}{8}=2\)(giờ)

vậy....

12.5* gọi hai số đó là a và b

ta có:a-b=9 (1)

\(\frac{7}{9}a=\frac{28}{33}b\)

=> \(a=\frac{28}{33}b:\frac{7}{9}\)

\(=>a=\frac{12}{11}b\)(2)

thay (2) vào (1) ta đc

\(\frac{12}{11}b-b=9\)

=> \(\frac{1}{11}b=9\)

=>b=99

=> a=99+9=108

vậy...

Tổng hai số là

820 : 2 = 410

Số lớn là

( 410 + 178 ) : 2 = 294

Số bé là

410 - 294 = 116

Đáp số :Số lớn 294;số bé 116

gọi st1 là a , st2 là b ta có:                       

a+b+(a+b)=820

2a+2b=820

2(a+b)=820

a+b=820/2

a+b=410

Mà hiệu a-b = 178=> a=(410-178)/2=116

b=178+116=294

số lớn là

(820+178):2=499

số bé:

820-321=321

đáp số :số bé :321

              số lớn:499