ghi vậy ai hiểu được, cần ghi rõ hơn :)))

Rút gọn: 

\(=\frac{16\left(18-4\right)}{33\left(15+1\right)}=\frac{16.14}{33.16}=\frac{14}{33}\)

So sánh thì bạn quy đồng lấy mẫu chung là 36

14/33

\(\frac{16.18-16.7}{15.33+33}\)

\(=\frac{16\left(18-7\right)}{33\left(15+1\right)}\)

\(=\frac{16.11}{33.16}\)

\(=\frac{1}{3}\)

#Học tốt!

a/ \(\frac{5}{21}=\frac{20}{84}\)

\(-\frac{3}{28}=-\frac{9}{84}\)

\(-\frac{45}{108}=-\frac{5}{12}=-\frac{35}{84}\)

b/ \(\frac{3.4-3.7}{6.5+9}=\frac{3\left(4-7\right)}{3\left(3.5+9\right)}=-\frac{3}{24}=-\frac{3.77}{24.77}=\frac{231}{1848}\)

\(\frac{16.18-16.17}{15.33+33}=\frac{16}{16.33}=\frac{1}{33}=\frac{1.56}{33.56}=\frac{56}{1848}\)

\(\frac{2}{7}=\frac{2.246}{7.246}=\frac{528}{1848}\)

a/ $\frac{5}{21}=\frac{20}{84}$

$\frac{-3}{28}=\frac{-9}{84}$

$\frac{-45}{108}=\frac{-5}{12}=\frac{-35}{84$

b/ Bạn ghi rõ đề bài bằng cách gõ công thức trên thanh công cụ của phần nhập câu hỏi bạn nhé

Câu 1:\(\frac{6}{5}\)
Câu 2:  X =  \(\frac{13}{16}\)

\(\frac{3}{2}:\frac{5}{4}=\frac{3}{2}\times\frac{4}{5}=\frac{12}{20}=\frac{3}{5}\)

X x 18/5 = 7/10 + 3/5 

X x 18/5 =  13/10

X            = 13/10 : 18/5

 X            = 13/36 

k cho mik với 

NGU DỐT

a)

`3/5xx3/2`

`=3/5xx2/3`

`=2/5`

b)

`3/7:3/14`

`=3/7xx14/3`

`=2`

c)

`5/7xx7/10`

`=1/2`

d)

`5/11xx33/15`

`=5/11xx11/5`

`=1`

\(a,\dfrac{3}{5}:\dfrac{3}{2}=\dfrac{3}{5}\times\dfrac{2}{3}=\dfrac{6}{15}=\dfrac{2}{5}\)

\(b,\dfrac{3}{7}:\dfrac{3}{14}=\dfrac{3}{7}\times\dfrac{14}{3}=\dfrac{42}{21}=42:21=2\)

\(c,\dfrac{5}{7}\times\dfrac{7}{10}=\dfrac{35}{70}=\dfrac{1}{2}\)

\(d,\dfrac{5}{11}\times\dfrac{33}{15}=\dfrac{165}{165}=165:165=1\)

yggucbsgfuyvfbsudy

????????

a) \(A=\left(\dfrac{x}{x+3}-\dfrac{2}{x-3}+\dfrac{x^2-1}{9-x^2}\right):\left(2-\dfrac{x+5}{x+3}\right)\) (ĐK: \(x\ne\pm3\))

\(A=\left[\dfrac{x\left(x-3\right)}{\left(x+3\right)\left(x-3\right)}-\dfrac{2\left(x+3\right)}{\left(x+3\right)\left(x-3\right)}-\dfrac{x^2-1}{\left(x+3\right)\left(x-3\right)}\right]:\left(2+\dfrac{x+5}{x+3}\right)\)

\(A=\dfrac{x^2-3x-2x-6-x^2+1}{\left(x+3\right)\left(x-3\right)}:\dfrac{2\left(x+3\right)-\left(x+5\right)}{x+3}\)

\(A=\dfrac{-5x-5}{\left(x+3\right)\left(x-3\right)}\cdot\dfrac{x+3}{x+1}\)

\(A=\dfrac{-5\left(x+1\right)\left(x+3\right)}{\left(x+3\right)\left(x-3\right)\left(x+1\right)}\)

\(A=\dfrac{-5}{x-3}\)

b) Ta có: \(\left|x\right|=1\)

TH1: \(\left|x\right|=-x\) với \(x< 0\)

Pt trở thành:

\(-x=1\) (ĐK: \(x< 0\)) 

\(\Leftrightarrow x=-1\left(tm\right)\)

Thay \(x=-1\) vào A ta có:

\(A=\dfrac{-5}{x-3}=\dfrac{-5}{-1-3}=\dfrac{5}{4}\)

TH2: \(\left|x\right|=x\) với \(x\ge0\)

Pt trở thành:

\(x=1\left(tm\right)\) (ĐK: \(x\ge0\)) 

Thay \(x=1\) vào A ta có:

\(A=\dfrac{-5}{x-3}=\dfrac{-5}{1-2}=\dfrac{5}{2}\)

c) \(A=\dfrac{1}{2}\) khi:

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

\(\Leftrightarrow-10=x-3\)

\(\Leftrightarrow x=-10+3\)

\(\Leftrightarrow x=-7\left(tm\right)\)

d) \(A\) nguyên khi:

\(\dfrac{-5}{x-3}\) nguyên

\(\Rightarrow x-3\inƯ\left(-5\right)\)

\(\Rightarrow x\in\left\{8;-2;2;4\right\}\)

a: \(A=\left(\dfrac{x}{x+3}-\dfrac{2}{x-3}+\dfrac{x^2-1}{9-x^2}\right):\left(2-\dfrac{x+5}{x+3}\right)\)

\(=\dfrac{x\left(x-3\right)-2\left(x+3\right)-x^2+1}{\left(x-3\right)\left(x+3\right)}:\dfrac{2x+6-x-5}{x+3}\)

\(=\dfrac{x^2-3x-2x-6-x^2+1}{\left(x-3\right)\left(x+3\right)}\cdot\dfrac{x+3}{x+1}\)

\(=\dfrac{-5x-5}{\left(x-3\right)}\cdot\dfrac{1}{x+1}=\dfrac{-5}{x-3}\)

b: |x|=1

=>x=-1(loại) hoặc x=1(nhận)

Khi x=1 thì \(A=\dfrac{-5}{1-3}=-\dfrac{5}{-2}=\dfrac{5}{2}\)

c: A=1/2

=>x-3=-10

=>x=-7

d: A nguyên

=>-5 chia hết cho x-3

=>x-3 thuộc {1;-1;5;-5}

=>x thuộc {4;2;8;-2}

1.
\(\left(\frac{3}{1\times3}+\frac{3}{3\times5}+\frac{3}{5\times7}+...+\frac{3}{97\times99}\right)-x:\frac{3}{2}=\frac{7}{3}\\ \left(\frac{2}{1\times3}+\frac{2}{3\times5}+\frac{2}{5\times7}+...+\frac{2}{97\times99}\right):\frac{3}{2}-x:\frac{3}{2}=\frac{7}{3}\\\left[\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{97}-\frac{1}{99}\right)-x\right]:\frac{3}{2}=\frac{7}{3}\\ \left(1-\frac{1}{99}\right)-x=\frac{7}{3}\times\frac{3}{2}\\ \frac{98}{99}-x=\frac{7}{2}\\ x=\frac{98}{99}-\frac{7}{2}=\frac{-497}{198}\)

2.\(\frac{x}{y}=\frac{4}{3}\Rightarrow\hept{\begin{cases}x=4a\\y=3a\\x-y=4a-3a=a\end{cases}}\\ \left(x-y\right)^{2015}=5^{2015}\Rightarrow x-y=5\\ \Rightarrow a=5\Rightarrow\hept{\begin{cases}x=4\times5=20\\y=3\times5=15\end{cases}}\)

1.