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\(\dfrac{3}{5}và\dfrac{15}{25}và\dfrac{21}{35};\dfrac{5}{8}và\dfrac{20}{32}\)
\(\dfrac{3}{5}=\dfrac{9}{15}=\dfrac{15}{25}=\dfrac{21}{35}\\ \dfrac{5}{8}=\dfrac{20}{32}\)
\(\frac{2}{5}=\frac{12}{30}=\frac{40}{100}\)
\(\frac{4}{7}=\frac{12}{21}=\frac{20}{35}\)
\(HokT\)
\(x-\frac{5}{7}-\frac{35}{45}=\frac{3}{7}\)
\(x-\frac{5}{7}-\frac{7}{9}=\frac{3}{7}\)
\(x-\frac{7}{9}=\frac{3}{7}+\frac{5}{7}\)
\(x-\frac{7}{9}=\frac{8}{7}\)
\(x=\frac{8}{7}+\frac{7}{9}=\frac{121}{63}\)
\(x-\frac{5}{7}-\frac{35}{45}=\frac{3}{7}\)
\(x-\frac{5}{7}-\frac{7}{9}=\frac{3}{7}\)
\(\frac{-45}{63}-\frac{49}{63}=\frac{3}{7}\)
\(x-\frac{94}{63}=\frac{3}{7}\)
\(x=\frac{94}{63}+\frac{3}{7}\)
\(x=\frac{121}{63}\)
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 ^^.
Câu 1 là 3/4 , 11/12 , 19/18 , 7/6
Câu 2 là 9/7 , 30/25 , 16/14 , 54/81
Câu 3 là 1/6 , 2/6 , 3/6, 4/6 , 5/6
Câu 4 là 6/5 , 7/5 , 8/5 , 9/5
Câu 5 là ko có phân số nào hết
Câu 6 là 13/15
\(\dfrac{35}{63}=\dfrac{5}{9}=\dfrac{25}{45}\) là các phân số cần tìm