Question

Mng ơi giúp em

Answer 1

n: \(-\frac47\cdot\left|-1-\frac25\right|=-\frac47\cdot\left|-\frac75\right|=-\frac47\cdot\frac75=-\frac45\)

i: \(\frac{x}{20}-\frac14=\frac15\)

=>\(\frac{x}{20}=\frac14+\frac15=\frac{9}{20}\)

=>x=9

j: \(x-\frac12=\frac35:\frac45\)

=>\(x-\frac12=\frac34\)

=>\(x=\frac34+\frac12=\frac54\)

k: \(\frac34x-\frac58=-\frac38\)

=>\(\frac34x=-\frac38+\frac58=\frac28=\frac14\)

=>\(x=\frac14:\frac34=\frac13\)

l: \(\frac23-\frac34:x=\frac12\)

=>\(\frac34:x=\frac23-\frac12=\frac{4-3}{6}=\frac16\)

=>\(x=\frac34:\frac16=\frac34\cdot6=\frac{18}{4}=\frac92\)

m: \(\frac14+\frac34:x=\frac23\)

=>\(\frac34:x=\frac23-\frac14=\frac{8-3}{12}=\frac{5}{12}\)

=>\(x=\frac34:\frac{5}{12}=\frac34\cdot\frac{12}{5}=\frac{36}{20}=\frac95\)

n: \(\left|x+\frac13\right|=\frac12\)

=>\(\left[\begin{array}{l}x+\frac13=\frac12\\ x+\frac13=-\frac12\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac12-\frac13=\frac16\\ x=-\frac12-\frac13=-\frac56\end{array}\right.\)

o: \(\left|\frac34x-\frac16\right|=\frac23\)

=>\(\left[\begin{array}{l}\frac34x-\frac16=\frac23\\ \frac34x-\frac16=-\frac23\end{array}\right.\Rightarrow\left[\begin{array}{l}\frac34x=\frac16+\frac23=\frac{1+4}{6}=\frac56\\ \frac34x=-\frac23+\frac16=\frac{-4+1}{6}=-\frac36=-\frac12\end{array}\right.\)

=>\(\left[\begin{array}{l}x=\frac56:\frac34=\frac56\cdot\frac43=\frac{20}{18}=\frac{10}{9}\\ x=-\frac12:\frac34=-\frac12\cdot\frac43=-\frac23\end{array}\right.\)

p: \(\frac25+\left|x-\frac16\right|=\frac23\)

=>\(\left|x-\frac16\right|=\frac23-\frac25=\frac{10-6}{15}=\frac{4}{15}\)

=>\(\left[\begin{array}{l}x-\frac16=\frac{4}{15}\\ x-\frac16=-\frac{4}{15}\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\frac{4}{15}+\frac16=\frac{8+5}{30}=\frac{13}{30}\\ x=-\frac{4}{15}+\frac16=\frac{-8+5}{30}=\frac{-3}{30}=-\frac{1}{10}\end{array}\right.\)