( 1 + 5/8 ) : 1/4
giúp mình gia
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\(\dfrac{1}{4}+\dfrac{8}{9}\le\dfrac{x}{36}< 1-\left(\dfrac{3}{8}-\dfrac{5}{6}\right)\)
\(\Rightarrow\dfrac{41}{36}\le\dfrac{x}{36}< 1-\left(-\dfrac{11}{24}\right)\)
\(\Rightarrow\dfrac{41}{36}\le\dfrac{x}{36}< 1+\dfrac{11}{24}\)
\(\Rightarrow\dfrac{41}{36}\le\dfrac{x}{36}< \dfrac{35}{24}\)
\(\Rightarrow\dfrac{82}{72}\le\dfrac{2x}{72}< \dfrac{105}{72}\)
\(\Rightarrow82\le2x< 105\)
\(\Rightarrow41\le x< \dfrac{105}{2}\)
\(\dfrac{1}{4}+\dfrac{8}{9}\le\dfrac{x}{36}< 1-\left(\dfrac{3}{8}-\dfrac{5}{6}\right)\)
\(\dfrac{\Leftrightarrow41}{36}\le\dfrac{x}{36}< \dfrac{35}{24}\)
\(\dfrac{\Leftrightarrow82}{72}\le\dfrac{2x}{72}< \dfrac{105}{72}\)
\(\Rightarrow82\le2x< 105\)
\(\Rightarrow x=\left\{41;42;43;44;45;46;47;48;49;50;51;52\right\}\)
\(x-\dfrac{1}{4}=1-\dfrac{5}{8}\\ =>x-\dfrac{1}{4}=\dfrac{3}{8}\\ =>x=\dfrac{3}{8}+\dfrac{1}{4}\\ =>x=\dfrac{5}{8}\)
Bài làm
\(\left(1+\frac{5}{8}\right):\frac{1}{4}\)
= \(\left(\frac{8}{8}+\frac{5}{8}\right)x\frac{4}{1}\)
= \(\frac{13}{8}x\frac{4}{1}\)
= \(\frac{13}{2}\)
# Chúc bạn học tốt #
\(\left(1+\frac{5}{8}\right):\frac{1}{4}=\frac{13}{8}:\frac{1}{4}=\frac{52}{8}=\frac{13}{2}\)