x:7/8+3/4=7/4
dấu 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`
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 ^^.
a) \(\frac{2}{7}+\frac{5}{7}.\frac{14}{35}=\frac{2}{7}+\frac{2}{7}=\frac{4}{7}\)
b) \(\left(\frac{31}{20}-\frac{36}{45}\right).\frac{36}{499}=\frac{3}{4}.\frac{36}{499}=\frac{27}{499}\)
c) \(4\frac{3}{8}+0,37+\frac{1}{8}+1,28+\frac{2}{5}+3\frac{1}{12}\)
\(=\frac{35}{8}+\frac{37}{100}+\frac{1}{8}+\frac{32}{25}+\frac{2}{5}+\frac{37}{12}\)
\(=\left(\frac{35}{8}+\frac{1}{8}\right)+\left(\frac{32}{25}+\frac{2}{5}\right)+\frac{37}{100}+\frac{37}{12}\)
\(=\frac{9}{2}+\frac{42}{25}+\frac{37}{100}+\frac{37}{12}\)
\(=\left(\frac{9}{2}+\frac{37}{12}\right)+\left(\frac{42}{25}+\frac{37}{100}\right)\)
\(=\frac{91}{12}+\frac{41}{20}\)
\(=\frac{289}{30}\)
a)\(\frac{14}{35}\)
b)\(\frac{27}{449}\)
0.37 là 0x37 hay 0,37 vậy bn ?
Ta có: x:7/8+3/4=7/4
-> x:7/8=7/4-3/4
->x:7/8=1
->x=1*7/8
->x=7/8
Vậy x=7/8
\(x\div\frac{7}{8}+\frac{3}{4}=\frac{7}{4}\)
\(\Rightarrow x\div\frac{7}{8}=\frac{7}{4}-\frac{3}{4}\)
\(\Rightarrow x\div\frac{7}{8}=1\)
\(\Rightarrow x=1\times\frac{7}{8}\)
\(\Rightarrow x=\frac{7}{8}\)