x-(6-2 phần 3)=1 phần 2
các bạn giúp mình nhanh nha cần gấp
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\(x-\left(\frac{5}{6}-x\right)=x-\frac{2}{3}\)
\(\Leftrightarrow x-\frac{5}{6}+x=x-\frac{2}{3}\)
\(\Leftrightarrow\left(x-x\right)+\frac{5}{6}=x-\frac{2}{3}\)
\(\Leftrightarrow0+\frac{5}{6}=x-\frac{2}{3}\)
\(\Leftrightarrow x-\frac{2}{3}=\frac{5}{6}\)
\(\Leftrightarrow x=\frac{5}{6}+\frac{2}{3}\)
\(\Leftrightarrow x=\frac{5}{6}+\frac{4}{6}\)
\(\Leftrightarrow x=\frac{3}{2}\)
\(y\times3+\dfrac{y}{2}+\dfrac{y}{4}=1\dfrac{1}{2}\\ \Rightarrow y\times3+y\times\dfrac{1}{2}+y\times\dfrac{1}{4}=\dfrac{3}{2}\\ \Rightarrow y\times\left(3+\dfrac{1}{2}+\dfrac{1}{4}\right)=\dfrac{3}{2}\\ \Rightarrow y\times\dfrac{15}{4}=\dfrac{3}{2}\\ \Rightarrow y=\dfrac{3}{2}:\dfrac{15}{4}\\ \Rightarrow y=\dfrac{2}{5}\)
ta co :x /4 =3 suy ra x =3 .4 =12
21 /x =7 suy ra x= 21 :7 =3
Viết lại đề bài:
Tìm số nguyên x sao cho \(\frac{6}{x+1}.\frac{x-1}{3}\)là số nguyên
Giải:
\(\frac{6}{x+1}.\frac{x-1}{3}\text{}\)
\(=\frac{3.2}{x+1}.\frac{x-1}{3}\text{}\)
\(=\frac{3.2.\left(x-1\right)}{\left(x+1\right).3}\text{}\)
\(=\frac{3.2.\left(x-1\right)}{3.\left(x+1\right)}\)
\(=\frac{3.2.\left(x-1\right)}{3.\left(x+1\right)}\)
\(=\frac{2.\left(x-1\right)}{\left(x+1\right)}\)
\(=2.\frac{\left(x-1\right)}{\left(x+1\right)}\)
Bí....
Sorr nhak
Ta có:\(\frac{6x}{x+1}=\frac{6x+6-6}{x+1}=\frac{6\left(x+1\right)-6}{x+1}=6-\frac{6}{x+1}\)
Để\(\frac{6x}{x+1}\)là số nguyên \(\Leftrightarrow6⋮x+1\)
\(\Rightarrow x+1\inƯ\left(6\right)=\left\{-6;-3;-2;-1;1;2;3;6\right\}\)
\(\Rightarrow x=\left\{-7;-4;-3;-2;0;1;2;5\right\}\left(1\right)\)
Để\(\frac{x-1}{3}\)là số nguyên\(\Leftrightarrow\left(x-1\right)⋮3\)
\(\Rightarrow x-1=3k\Rightarrow x=3k+1\left(k\in Z\right)\left(2\right)\)
Từ (1) và (2)\(\Rightarrow x\in\left\{-2;1\right\}\)
Vậy \(x\in\left\{-2;1\right\}\)
\(\left(x-\dfrac{1}{2}\right).\dfrac{5}{2}=\dfrac{7}{4}-\dfrac{1}{2}\)
\(\Rightarrow\left(x-\dfrac{1}{2}\right).\dfrac{5}{2}=\dfrac{5}{4}\)
\(\Rightarrow x-\dfrac{1}{2}=\dfrac{1}{2}\)
=> x = 1
Ta có: \(\left(x-\dfrac{1}{2}\right)\cdot\dfrac{5}{2}=\dfrac{7}{4}-\dfrac{1}{2}\)
\(\Leftrightarrow\left(x-\dfrac{1}{2}\right)\cdot\dfrac{5}{2}=\dfrac{5}{4}\)
\(\Leftrightarrow x-\dfrac{1}{2}=\dfrac{1}{2}\)
hay x=1
a) \(\frac{3}{4}\times\frac{5}{6}-\frac{1}{6}\)
\(=\frac{3\times5}{4\times6}-\frac{1}{6}\)
\(=\frac{3\times5}{4\times2\times3}-\frac{1}{6}\)
\(=\frac{5}{8}-\frac{1}{6}\)
\(=\frac{15}{24}-\frac{4}{24}\)
\(=\frac{11}{24}\)
b) \(\frac{1}{2}+\frac{1}{3}\div\frac{1}{4}\)
\(=\frac{1}{2}+\frac{1}{3}\times\frac{4}{1}\)
\(=\frac{1}{2}+\frac{1\times4}{3\times1}\)
\(=\frac{1}{2}+\frac{4}{3}\)
\(=\frac{3}{6}+\frac{8}{6}\)
\(=\frac{11}{6}\)
Theo ý e bảo chỉ làm 3 dòng thôi nên a rút gọn phép tính lại:
a) \(\frac{3}{4}\times\frac{5}{6}-\frac{1}{6}\)
\(=\frac{5}{8}-\frac{1}{6}\)
\(=\frac{15}{24}-\frac{4}{24}\)
\(=\frac{11}{24}\)
b) \(\frac{1}{2}+\frac{1}{3}\div\frac{1}{4}\)
\(=\frac{1}{2}+\frac{4}{3}\)
\(=\frac{3}{6}+\frac{8}{6}\)
\(=\frac{11}{6}\)
Bài giải
\(\frac{2}{3}+\frac{3}{4}+\frac{4}{5}=\frac{40}{60}+\frac{45}{60}+\frac{48}{60}=\frac{133}{60}\)
\(\frac{8}{5}+\frac{7}{6}+\frac{10}{9}+\frac{1}{2}=\frac{144}{90}+\frac{105}{90}+\frac{100}{90}+\frac{45}{90}=\frac{394}{90}\)
\(\frac{15}{17}-\frac{11}{13}+\frac{3}{26}=\frac{390}{442}+\frac{374}{442}+\frac{51}{442}=\frac{815}{442}\)
\(\frac{9}{12}\text{ x }\frac{4}{3}\text{ : }\frac{8}{5}=\frac{9}{12}\text{ x }\frac{4}{3}\text{ x }\frac{5}{8}=\frac{9\text{ x }4\text{ x }5}{12\text{ x }3\text{ x }8}=\frac{5}{8}\)
\(\frac{4}{5}\text{ x }\frac{15}{8}\text{ : }\frac{5}{7}=\frac{4}{5}\text{ x }\frac{15}{8}\text{ x }\frac{7}{5}=\frac{4\text{ x }15\text{ x }7}{5\text{ x }8\text{ x }5}=\frac{21}{10}\)
\(\frac{2}{3}+\frac{3}{4}+\frac{4}{5}=\frac{40}{60}+\frac{45}{60}+\frac{48}{60}=\frac{133}{60}\)
\(\frac{8}{5}+\frac{7}{6}+\frac{10}{9}+\frac{1}{2}=\frac{144}{90}+\frac{105}{90}+\frac{100}{90}+\frac{45}{90}=\frac{197}{45}\)
\(\frac{15}{17}-\frac{11}{13}+\frac{1}{26}=\frac{390}{442}+\frac{374}{442}+\frac{51}{442}=\frac{815}{442}\)
\(\frac{9}{12}\times\frac{4}{3}:\frac{8}{5}=1:\frac{8}{5}=\frac{5}{8}\)
\(\frac{4}{5}\times\frac{15}{8}:\frac{5}{7}=\frac{3}{2}:\frac{5}{7}=\frac{21}{10}\)
bạn giúp mình đi mà mình bị mất sgk nên mới hỏi mọi người đó chứ mình àm còn thì mình đâu có hỏi đâu
x-1=1/2
x =1/2 + 1
x= 3/2
dấu / là phần nha.