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(\(\frac{5}{7}-y\)) x \(\frac{14}{5}=\frac{6}{5}\)
\(\frac{5}{7}-y\) = \(\frac{6}{5}:\frac{14}{5}\)
\(\frac{5}{7}-y\) = \(\frac{3}{7}\)
y = \(\frac{5}{7}-\frac{3}{7}\)
y = \(\frac{2}{7}\)
\(\left(\frac{5}{7}-y\right)\cdot\frac{14}{5}=\frac{7}{10}+\frac{1}{2}\)
\(\Leftrightarrow\left(\frac{5}{7}-y\right)\cdot\frac{14}{5}=\frac{7}{10}+\frac{5}{10}\)
\(\Leftrightarrow\left(\frac{5}{7}-y\right)\cdot\frac{14}{5}=\frac{6}{5}\)
\(\Leftrightarrow\frac{5}{7}-y=\frac{6}{5}\div\frac{14}{5}\)
\(\Leftrightarrow\frac{5}{7}-y=\frac{3}{7}\)
\(\Rightarrow y=\frac{5}{7}-\frac{3}{7}=\frac{2}{7}\)
1 / 7/4 - y . 5/6 = 1/2 + 1/3
7/4 - 5/6y = 5/6
5/6y = 7/4 - 5/6
5/6y = 11/12
y = 11/12 : 5/6
y = 11/10
2 . 136 là số chia 9 dư 1
=> y = 136 - 1 = 135
3 . Dựa theo quy luật của dãy thì số tiếp theo là :
1/16 : 2 = 1/32
1: y = \(\frac{11}{10}\)
2: Y = 135
3: Số hạng tiếp theo của dãy: \(\frac{1}{32}\)
9/4-y*5/6=1/2+3/2
9/4-y*5/6=2
y*5/6=9/4-2/1
y*5/6=9/4-8/4
y*5/6=1/4
y=1/4:5/6
y=3/10
9/4-y*5/6=1/2+2/3
9/4-y*5/6=7/6
y*5/6=9/4-7/6
y*5/6=13/12
y=13/12:5/6
y=13/12*6/5
y=13/10
\(\left(y-\frac{1}{2}\right):\left(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+...+\frac{1}{9.10}\right)=\frac{1}{3}\)
\(\Leftrightarrow\left(y-\frac{1}{2}\right):\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-...+\frac{1}{9}-\frac{1}{10}\right)=\frac{1}{3}\)
\(\Leftrightarrow\left(y-\frac{1}{3}\right):\left(1-\frac{1}{10}\right)=\frac{1}{3}\)
\(\Leftrightarrow\left(y-\frac{1}{2}\right):\frac{9}{10}=\frac{1}{3}\)
\(\Leftrightarrow\left(y-\frac{1}{2}\right)=\frac{3}{10}\)
\(\Leftrightarrow y=\frac{4}{5}\)
\(\left(\frac{5}{7}-y\right)x\frac{14}{5}=\frac{7}{10}+\frac{1}{2}\)
\(\left(\frac{5}{7}-y\right)x\frac{14}{5}=\frac{6}{5}\)
\(\frac{5}{7}-y=\frac{6}{5}:\frac{14}{5}\)
\(\frac{5}{7}-y=\frac{3}{7}\)
Y = \(\frac{5}{7}-\frac{3}{7}\)
Y = \(\frac{2}{7}\)
\(\left(\frac{5}{7}-y\right).\frac{14}{5}=\frac{7}{10}+\frac{1}{2}\)
\(\left(\frac{5}{7}-y\right).\frac{14}{5}=\frac{6}{5}\)
\(\frac{5}{7}-y=\frac{6}{5}\div\frac{14}{5}\)
\(\frac{5}{7}-y=\frac{3}{7}\)
\(y=\frac{5}{7}-\frac{3}{7}\)
\(y=\frac{2}{7}\)
5/y = 1/2 * 5
5/y = 5/10
=> y = 10
~ Học tốt ~