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\(3\frac{2}{5}\cdot2\frac{1}{7}=\frac{17}{5}\cdot\frac{15}{7}=\frac{255}{35}\)
\(8\frac{1}{6}:2\frac{1}{2}=\frac{49}{6}:\frac{5}{2}=\frac{49}{6}\cdot\frac{2}{5}=\frac{98}{30}\)
Quy tắc chuyển hỗn số thành phân số:
Phần nguyên x mẫu + tử thì ra tử mẫu giữ nguyên
\(x+\frac{2}{3}=2\frac{1}{2}\)
\(x+\frac{2}{3}=\frac{5}{2}\)
\(x=\frac{5}{2}-\frac{2}{3}\)
\(x=\frac{11}{6}\)
\(8,75.x+1,25.x=26,3\)
\(x.\left(8,75+1,25\right)=26,3\)
\(x.10=26,3\)
\(x=26,3\div10\)
\(x=2,63\)
\(\frac{1}{6}:\left(x-\frac{1}{3}\right)-\frac{5}{6}=\frac{5}{9}\times2\frac{8}{6}\)
\(\Leftrightarrow\frac{1}{6}:\left(\frac{3x-1}{3}\right)=\frac{5}{6}+\frac{5}{9}\times2\frac{4}{3}\)
\(\Leftrightarrow\frac{1}{6}\times\frac{3}{3x-1}=\frac{5}{6}+\frac{5}{9}\times\frac{10}{3}\)
\(\Leftrightarrow\frac{1}{2}\times\frac{1}{3x-1}=\frac{45+100}{54}\)
\(\Leftrightarrow\frac{1}{3x-1}=\frac{2\cdot145}{54}=\frac{145}{27}\)
\(\Leftrightarrow3x-1=\frac{27}{145}\Leftrightarrow3x=\frac{27}{145}+1=\frac{172}{145}\)
\(\Leftrightarrow x=\frac{172}{435}\).
\(\frac{5}{6}+\frac{7}{9}:\frac{5}{6}-\frac{1}{6}\)= \(\frac{5}{6}+\frac{14}{15}-\frac{1}{6}\)
= \(\frac{8}{5}\)
15, 601 = ko thể viết đc hốn số
a)\(\left(x+3\right)\times5+1=20\Leftrightarrow5x+15=19\)
\(\Leftrightarrow5x=4\Leftrightarrow x=\frac{4}{5}\)
b)sai đề
c)\(2\frac{3}{7}\times x+1\frac{5}{4}=5\frac{3}{42}\)\(\Leftrightarrow\frac{17}{7}\times x+\frac{9}{4}=\frac{71}{14}\) \(\Leftrightarrow\frac{17}{7}\times x+\frac{63}{28}=\frac{142}{28}\)
\(\Leftrightarrow\frac{17}{7}\times x=\frac{79}{28}\Leftrightarrow x=\frac{17}{7}:\frac{79}{28}\) \(\Leftrightarrow x=\frac{17}{7}\times\frac{28}{79}\Leftrightarrow x=\frac{476}{553}=\frac{68}{79}\)
d)\(10\frac{2}{3}-x:\frac{6}{7}=8\frac{1}{3}-6\frac{2}{7}\Leftrightarrow\frac{32}{3}-x:\frac{6}{7}=\frac{25}{3}-\frac{44}{7}\) \(\Leftrightarrow\frac{224}{21}-x:\frac{6}{7}=\frac{75}{21}-\frac{132}{21}\Leftrightarrow-\frac{57}{21}-\frac{224}{21}\)
\(\Leftrightarrow-x:\frac{6}{7}=-\frac{281}{21}\Leftrightarrow-x=-\frac{281}{21}\times\frac{6}{7}\) \(\Leftrightarrow-x=-\frac{1686}{147}\Leftrightarrow x=\frac{562}{49}=11\frac{23}{49}\)
\(6\frac{1}{6}+1\frac{5}{6}\)
\(=\frac{37}{6}+\frac{11}{6}\)
\(=\frac{37+11}{6}\)
\(=\frac{48}{6}\)
\(=8\)
\(6\frac{1}{6}+1\frac{5}{6}=\frac{37}{6}+\frac{11}{6}=\frac{37+11}{6}=\frac{48}{6}=8\)
Hk tốt................
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