Dễ mà

a, \(\left(4\frac{46}{65}+x\right).1\frac{1}{2}=5,75\)

\(\left(4\frac{46}{65}+x\right)=5,75:1\frac{1}{2}\)

\(\left(4\frac{46}{65}.x\right)=4\)

\(x=4:4\frac{46}{65}\)

\(x=\frac{130}{153}\)

b tương tự

a,(\(4\frac{46}{65}\)+ x).\(1\frac{1}{12}\)= 5,75

(\(\frac{306}{65}\)+x).\(\frac{13}{12}\)=5,75

(\(\frac{306}{65}\)+x)          = 5,75 / \(\frac{13}{12}\)

(\(\frac{306}{65}\)+x)          = \(\frac{69}{13}\)

                 x            = \(\frac{69}{13}\)- \(\frac{306}{65}\)

                 x            = \(\frac{3}{5}\)

a)  \(=\frac{1}{1.3}.\frac{3.3}{2.4}.\frac{4.4}{3.5}.\frac{5.5}{4.6}.\frac{6.6}{5.7}=\frac{6}{2.7}=\frac{3}{7}\)

B) \(=\frac{70}{11}+\frac{1}{9}-\frac{37}{11}-\frac{1}{9}=\left(\frac{70}{11}-\frac{37}{11}\right)+\left(\frac{1}{9}-\frac{1}{9}\right)=\frac{33}{11}+0=3\)

BÀI 2:

A) \(\Leftrightarrow\frac{7}{2}x-\frac{x}{2}+\frac{2x}{2}=\frac{7}{2}.\frac{5}{6}\)

\(\Leftrightarrow\frac{7x-x+2x}{2}=\frac{35}{12}\)

\(\Leftrightarrow\frac{8x}{2}=\frac{35}{12}\)

\(\Leftrightarrow8x.12=35.2\Leftrightarrow96x=70\Leftrightarrow x=\frac{70}{96}=\frac{35}{48}\)

b) \(\left(x-\frac{3}{1.2}\right)+\left(x-\frac{3}{2.3}\right)+...+\left(x-\frac{3}{99.100}\right)=1\)

\(x-\frac{3}{1.2}+x-\frac{3}{2.3}+....x+\frac{3}{99.100}=1\)

\(\Leftrightarrow\left(x+x+x+...+x\right)-3\left(\frac{1}{1.2}+\frac{1}{1.3}+....+\frac{1}{99.100}\right)=1\)

ngoặc 1 có 99 số hạng x

\(\Leftrightarrow99x-3\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{99}-\frac{1}{100}\right)=1\)

\(\Leftrightarrow99x-3\left(1-\frac{1}{100}\right)=1\)

\(\Leftrightarrow99x-3.\frac{99}{100}=1\)

\(\Leftrightarrow99x=1+\frac{3.99}{100}\)

\(\Leftrightarrow99x=\frac{397}{100}\)

\(\Leftrightarrow x=\frac{397}{100.99}=\frac{397}{9900}\)

\(a)x+30\%x=-1,31\)

\(\Leftrightarrow x+\frac{3x}{10}=-1,31\)

\(\Leftrightarrow10x+3x=-13,1\)

\(\Leftrightarrow13x=-13,1\Leftrightarrow x=-\frac{131}{130}\)

\(b)\left(x-\frac{1}{2}\right):\frac{1}{3}+\frac{5}{7}=9\frac{5}{7}\)

\(\Leftrightarrow\frac{2x-1}{2}.3+\frac{5}{7}=\frac{68}{7}\)

\(\Leftrightarrow\frac{6x-3}{2}=\frac{63}{7}\)

\(\Leftrightarrow\frac{6x-3}{2}=9\)

\(\Leftrightarrow6x-3=18\)

\(\Leftrightarrow x=\frac{7}{2}\)

a)\(\frac{-7}{25}.\frac{11}{13}+\frac{-7}{25}.\frac{2}{13}-\frac{18}{25}\)

\(=\frac{-7}{25}.\left(\frac{11}{13}+\frac{2}{13}\right)-\frac{18}{25}\)

\(=\frac{-7}{25}.1-\frac{18}{25}\)

\(=-\frac{7}{25}-\frac{18}{25}\)

\(=-1\)

b)\(\frac{5}{7}.\frac{1}{3}-\frac{5}{7}.\frac{1}{4}-\frac{5}{7}.\frac{1}{12}\)

\(=\frac{5}{7}.\left(\frac{1}{3}-\frac{1}{4}-\frac{1}{12}\right)\)

\(=\frac{5}{7}.\left(\frac{4}{12}-\frac{3}{12}-\frac{1}{12}\right)\)

\(=\frac{5}{7}.0\)

\(=0\)

a) \(x+\frac{1}{6}=-\frac{3}{8}\)

\(x=-\frac{3}{8}-\frac{1}{6}\)

\(x=-\frac{13}{24}\)

~ Thiên mã ~

b) \(\frac{1}{2}.x+\frac{1}{8}.x=\frac{3}{4}\)

\(x.\left(\frac{1}{2}+\frac{1}{8}\right)=\frac{3}{4}\)

\(\frac{5}{8}.x=\frac{3}{4}\)

\(x=\frac{6}{5}\)

~ Thiên Mã ~

Câu 1a:

75% - 1 1/2 + 0,5 : 5/12 - (-1/2)^2

= 0,75 - 1,5 + 0,5 x 12/5 - 0,25

= (0,75 - 0,25) - 1,5 + 1,2

= 0,5 - 1,5 + 1,2

= - 1 + 1,2

= 0,2

Bài 1b:

(5/7.0,6 - 5: 3 1/2). (40% - 1,4).(-2)^3

= (3/7 - 5 x 2/7).(0,4 - 1,4).8

= - 1.(-1).8

= 8

\(a,\left(4\frac{46}{65}+x\right)\cdot1\frac{1}{12}=5,75\)

\( < =>\left(4\frac{46}{65}+x\right)=5,75:1\frac{1}{12}\)

\(< =>\left(4\frac{46}{65}+x\right)=\frac{69}{13}\)

\(< =>x=\frac{69}{13}-4\frac{46}{65}\)

\(< =>x=\frac{3}{5}\)

\(b,\frac{5}{4}-I\frac{3}{2}\cdot x+0,5I=1\frac{1}{4}\)

\(< = >I\frac{3}{2}\cdot x+0,5I=1\frac{1}{4}+\frac{5}{4}\)

\(< =>I\frac{3}{2}\cdot x+0,5I=\frac{5}{2}\)

\(< =>\left[\frac{3}{2}\cdot x+0,5\right]=\frac{5}{2}hoac\frac{-5}{2}\)

\(< =>\left[\frac{3}{2}\cdot x\right]=\frac{5}{2}-0,5hoac\frac{-5}{2}-0,5\)

\(< =>\left[\frac{3}{2}\cdot x\right]=2hoac-3\)

\(< =>\left[x\right]=2:\frac{3}{2}hoac-3:\frac{3}{2}\)

\(< =>\left[x\right]=\frac{4}{3}hoac-2\)

chuc ban hoc tot nhe :))

Tìm \(x\) câu a:

\(\frac13.x\) + \(\frac25.\left(x+1\right)\) = 0

\(\frac{5}{15}x\) + \(\frac{6}{15}x\) + \(\frac25\) = 0

\(\frac{11}{15}x\) = - \(\frac25\)

\(x=-\frac25:\frac{11}{15}\)

\(x\) = - \(\frac25\times\frac{15}{11}\)

\(x\) = - \(\frac{6}{11}\)

Vậy \(x=-\frac{6}{11}\)

Tìm \(x\) câu b:

\(x\) x 25% = 0,5

\(x\times0,25\) = 0,5

\(x=0,5:0,25\)

\(x=2\)

Vậy \(x=2\)

Câu 1a:

1/3x + 2/5(x + 1) = 0

1/3x + 2/5x + 2/5 = 0

1/3x + 2/5x = - 2/5

x(1/3 + 2/5) = -2/5

x.(5/15 + 6/15) = -2/5

x.11/15 = - 2/5

x = - 2/5 : 11/15

x = - 6/11

Vậy x = -6/11

Câu b:

x . 25%. x = 0,5

x.x = 0,5 : 25%

x^2 = 2

x = - \(\sqrt2\); x = \(\sqrt2\)

Vậy x ∈ {- \(\sqrt2\); \(\sqrt2\) )