(x+140):x+260=331
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\(\dfrac{42\cdot32}{12\cdot14\cdot16}\)(Dấu . là dấu nhân)
\(=\dfrac{7\cdot6\cdot8\cdot2\cdot2}{6\cdot2\cdot7\cdot2\cdot8\cdot2}\)
\(=\dfrac{1}{2}\)
\(\dfrac{42.32}{12.14.16}=\dfrac{1344}{2688}=\dfrac{1}{2}\)
\(\dfrac{26}{39}=\dfrac{26:13}{39:13}=\dfrac{2}{3}\)
\(\dfrac{38}{57}=\dfrac{38:19}{57:19}=\dfrac{2}{3}\)
\(\dfrac{26}{39}=\dfrac{26:13}{39:13}=\dfrac{2}{3}\)
\(\dfrac{38}{57}=\dfrac{38:19}{57:19}=\dfrac{2}{3}\)
\(\dfrac{3}{16};\dfrac{5}{24};\dfrac{21}{56}\)
\(\dfrac{21}{56}=\dfrac{3}{8}=\dfrac{18}{48}\)
\(\dfrac{5}{24}=\dfrac{10}{48}\)
\(\dfrac{3}{16}=\dfrac{9}{48}\)
Ta quy đồng được thành: \(\dfrac{9}{48};\dfrac{10}{48};\dfrac{18}{48}\)
\(\dfrac{3}{16}\text{=}\dfrac{3\times21}{16\times21}\text{=}\dfrac{63}{336}\)
\(\dfrac{5}{24}\text{=}\dfrac{5\times14}{24\times14}\text{=}\dfrac{70}{336}\)
\(\dfrac{21}{56}\text{=}\dfrac{21\times6}{56\times6}\text{=}\dfrac{126}{336}\)
\(\left(x+140\right):x+260\text{=}331\)
\(\left(x+140\right):x\text{=}331-260\)
\(x:x+140:x\text{=}71\)
\(1+140:x\text{=}71\)
\(140:x\text{=}71-1\)
\(140:x\text{=}70\)
\(x\text{=}140:70\)
\(x\text{=}2\)
Trước tiên, bạn cần biết về tình chất phân số nhé:
\(\dfrac{a+b}{c}=\dfrac{a}{c}+\dfrac{b}{c}\)
Áp dụng vào bài, ta có:
\(\dfrac{\left(x+140\right)}{x}+260=331\)
\(\Rightarrow\dfrac{x}{x}+\dfrac{40}{x}+260=331\)
\(\Rightarrow1+\dfrac{40}{x}+260=331\)
\(\Rightarrow40:x=331-1-260=70\)
\(\Rightarrow x=\dfrac{40}{70}=\dfrac{4}{7}\)