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\(\frac{a}{b}.4+\frac{1}{6}=\frac{17}{6}\)
\(\frac{a}{b}.4\) \(=\frac{17}{6}-\frac{1}{6}\)
\(\frac{a}{b}.4\) \(=\frac{8}{3}\)
\(\frac{a}{b}=\frac{8}{3}:4\)
\(\frac{a}{b}=\frac{2}{3}\)
\(\frac{a}{b}.4=\frac{17}{6}-\frac{1}{6}\)
\(\frac{a}{b}.4=\frac{16}{6}\)
\(\frac{a}{b}=\frac{16}{6}:4\)
\(\frac{a}{b}=\frac{16}{6}.\frac{1}{4}=\frac{16}{6.4}=\frac{2}{3}\)
a/
\(1\frac{1}{2}x1\frac{1}{3}x1\frac{1}{4}x1\frac{1}{5}x1\frac{1}{6}=\frac{3}{2}x\frac{4}{3}x\frac{5}{4}x\frac{6}{5}x\frac{7}{6}=\frac{7}{2}=3\frac{1}{2}\)
b/
x=0; y=5
\(S=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{90}\)
\(S=\frac{1}{1\times2}+\frac{1}{2\times3}+\frac{1}{3\times4}+...+\frac{1}{9\times10}\)
\(S=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(S=1-\frac{1}{10}\)
\(S=\frac{9}{10}\)
\(S=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+...+\frac{1}{90}\)
\(S=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}\)
\(S=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(S=1-\frac{1}{10}\)
\(S=\frac{9}{10}\)
\(\frac{1}{x}:\frac{1}{3}\times\frac{1}{4}=\frac{5}{6}\)
\(\frac{3}{x}\times\frac{1}{4}=\frac{5}{6}\)
\(\frac{3}{x}=\frac{5}{6}:\frac{1}{4}\)
\(\frac{3}{x}=\frac{10}{3}\)
\(\Leftrightarrow3.3=10.x\)
\(\Leftrightarrow9=10.x\)
\(\Leftrightarrow x=\frac{9}{10}\)
\(\frac{1}{x}:\frac{1}{3}\times\frac{1}{4}=\frac{5}{6}\)
\(\frac{1}{x}:\frac{1}{3}=\frac{10}{3}\)
\(\frac{3}{x}=\frac{10}{3}\)
\(x=3.\frac{3}{10}=\frac{9}{10}\)
\(\frac{7}{18}\)+ \(\frac{5}{3}\)* 1\(\frac{3}{9}\): \(\frac{55}{4}\)
Mọi người giúp mình giải nhé!!!
\(\frac{7}{18}+\frac{5}{3}\times1\frac{3}{9}\div\frac{55}{4}=\)\(\frac{7}{18}+\frac{5}{3}\times\frac{12}{9}\div\frac{55}{4}=\)\(\frac{7}{18}+\frac{5}{3}\times\frac{12}{9}\times\frac{4}{55}=\)\(\frac{7}{18}+\frac{5\times12\times4}{3\times9\times55}=\)\(\frac{7}{18}+\frac{4\times4}{9\times11}=\)\(\frac{7}{18}+\frac{16}{99}=\)\(\frac{693}{1782}+\frac{288}{1782}=\)\(\frac{981}{1782}=\frac{109}{198}\)
1/2 x y + 1/3 x y + 1/4 x y = 11/4
y x ( 1/2 + 1/3 + 1/4 ) = 11/4
y x 13/12 = 11/4
y = 11/4 : 13/12
y = 11/4 x 12/13
y = 33/13
^^ Học tốt!
\(\frac{1}{2}\times Y+\frac{1}{3}\times Y+\frac{1}{4}\times Y=\frac{11}{4}\)
\(3Y=\frac{11}{4}\div\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\right)\)
\(3Y=\frac{33}{13}\)
\(Y=\frac{33}{13}\div3\)
\(Y=\frac{11}{13}\)
~ Chúc bạn học tốt
\(1+\frac{3}{4}+\frac{1}{6}\)
\(=\frac{12}{12}+\frac{9}{12}+\frac{2}{12}\)
\(=\frac{23}{12}\)
1 + 3/4 + 1/6
= 1 + 0,75 + 2/12
= 23/12