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25/37 - 2/5 + 12/37 = (25/37+12/37)-2/5=37/37-2/5=1-2/5=5/5-2/5=3/5
a: =18/70+4/5=18/70+56/70=74/70=37/35
b: =4/5-3/4=16/20-15/20=1/20
a) \(\dfrac{2}{7}\times\dfrac{9}{10}+\dfrac{4}{5}=\dfrac{18}{70}+\dfrac{4}{5}=\dfrac{9}{35}+\dfrac{4}{5}=\dfrac{9}{35}+\dfrac{28}{35}=\dfrac{37}{35}\)
b) \(\dfrac{12}{15}-\dfrac{1}{2}:\dfrac{2}{3}=\dfrac{12}{15}-\dfrac{1}{2}\times\dfrac{3}{2}=\dfrac{12}{15}-\dfrac{3}{4}=\dfrac{4}{5}-\dfrac{3}{4}=\dfrac{16}{20}-\dfrac{15}{20}=\dfrac{1}{20}\)
\(A=\dfrac{1}{5}+\dfrac{1}{10}+\dfrac{1}{20}+\dfrac{1}{40}+\dfrac{1}{80}+\dfrac{1}{160}\\ A=\dfrac{35}{160}+\dfrac{16}{160}+\dfrac{8}{160}+\dfrac{4}{160}+\dfrac{2}{160}+\dfrac{1}{160}\\ A=\dfrac{66}{160}\\ A=\dfrac{33}{80}.\)
\(\frac{5}{7}:x=\frac{2}{3}x\frac{3}{4}\)
\(\frac{5}{7}:x=\frac{1}{2}\)
\(x=\frac{5}{7}:\frac{1}{2}\)
\(x=\frac{10}{7}\)
\(\frac{2}{3}\times\frac{1}{5}+\frac{3}{10}\times\frac{2}{3}+\frac{4}{6}\times\frac{1}{2}\)
\(=\frac{2}{3}\times\frac{1}{5}+\frac{3}{10}\times\frac{2}{3}+\frac{2}{3}\times\frac{1}{2}\)
\(=\frac{2}{3}\times\left(\frac{1}{5}+\frac{3}{10}+\frac{1}{2}\right)\)
\(=\frac{2}{3}\times\frac{10}{10}\)
\(=\frac{2}{3}\)
\(\dfrac{5}{2}\times\dfrac{1}{3}+\dfrac{1}{4}\\ =\dfrac{5}{6}+\dfrac{1}{4}\\ =\dfrac{10}{12}+\dfrac{3}{12}\\ =\dfrac{13}{12}\)
= 5/6 + 1/4
= 10/12 + 3/12
= 13/12
Vậy giá trị biểu thức là 13/12