x-6/5:2/3=5/6
đấu gạch chéo là phân số
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`x-10/3=7/18+3/5`
`=> x-10/3=89/90`
`=> x=89/90+10/3`
`=> x=389/90`
\(x\times\frac{3}{5}-\frac{1}{2}=\frac{4}{5}\)
\(\Rightarrow x\times\frac{6}{10}-\frac{5}{10}=\frac{4}{5}\)
\(\Rightarrow x\times\frac{1}{10}=\frac{4}{5}\)
\(\Rightarrow x=\frac{4}{5}:\frac{1}{10}\)
\(\Rightarrow x=\frac{4}{5}\cdot\frac{10}{1}\)
\(\Rightarrow x=\frac{40}{5}=8\)
Vậy x = 8
\(x+\frac{3}{7}\times\frac{21}{9}=5\)
\(\Rightarrow x+\frac{3}{7}\times\frac{7}{3}=5\)
\(\Rightarrow x+1=5\)
\(\Rightarrow x=5-1=4\)
Bài làm:
\(\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}\right).y=\frac{2}{3}\)
\(\Leftrightarrow\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+\frac{2}{7.9}+\frac{2}{9.11}\right).y=\frac{4}{3}\)
\(\Leftrightarrow\left(\frac{3-1}{1.3}+\frac{5-3}{3.5}+\frac{7-5}{5.7}+\frac{9-7}{7.9}+\frac{11-9}{9.11}\right).y=\frac{4}{3}\)
\(\Leftrightarrow\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right).y=\frac{4}{3}\)
\(\Leftrightarrow\left(1-\frac{1}{11}\right).y=\frac{4}{3}\)
\(\Leftrightarrow\frac{10}{11}.y=\frac{4}{3}\)
\(\Leftrightarrow y=\frac{4}{3}:\frac{10}{11}=\frac{4}{3}.\frac{11}{10}=\frac{22}{15}\)
Chú ý dấu \(\left(.\right)\)là dấu \(\left(\times\right)\)
Vậy \(y=\frac{22}{15}\)
\(\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+\frac{1}{9.11}\right).y=\frac{2}{3}\)
\(\Leftrightarrow\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{9}+\frac{1}{9}-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\Leftrightarrow\frac{1}{2}.\left(1-\frac{1}{11}\right).y=\frac{2}{3}\)
\(\Leftrightarrow\frac{1}{2}.\frac{10}{11}.y=\frac{2}{3}\)
\(\Leftrightarrow\frac{5}{11}.y=\frac{2}{3}\)
\(\Rightarrow y=\frac{2}{3}:\frac{5}{11}=\frac{22}{15}\)
LƯU Ý:các dấu chấm(.) là dấu nhân ^^.
Giải thích kĩ thế :))
Tính
\(\frac{2^7.9^3}{6^5.8^2}=\frac{2^2.2^5.3^5.3}{2^5.3^5.2^6}=\frac{3}{2^4}=\frac{3}{16}\)
2+3/5=3/5
=>2-5-3+3/5=3/5
2-2+3/5=3/5
0+3/5=3/5=3/5 nhe
\(x-\frac{6}{5}\div\frac{2}{3}=\frac{5}{6}\)
\(\Leftrightarrow x-\frac{18}{10}=\frac{5}{6}\)
\(\Leftrightarrow x=\frac{5}{6}+\frac{18}{10}\)
\(\Leftrightarrow x=\frac{25}{30}+\frac{54}{30}\)
\(\Leftrightarrow x=\frac{79}{30}\)
\(x-\frac{6}{5}\div\frac{2}{3}=\frac{5}{6}\)
\(x-\frac{18}{10}=\frac{5}{6}\)
\(x=\frac{5}{6}+\frac{18}{10}\)
\(\Rightarrow x=\frac{79}{30}\)