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\(\frac{5}{3}\)x 2 + x : \(\frac{4}{3}\)= \(\frac{29}{7}\)
\(\frac{10}{3}\)+ x : \(\frac{4}{3}\)= \(\frac{29}{7}\)
x : \(\frac{4}{3}\)= \(\frac{29}{7}\)- \(\frac{10}{3}\)
x = \(\frac{17}{21}\)x \(\frac{4}{3}\)
x = \(\frac{68}{63}\)
\(\frac{10}{3}+\frac{x.3}{4}=\frac{29}{7}\)
\(\frac{3x}{4}=\frac{29}{7}-\frac{10}{3}=\frac{17}{21}\)
\(x=\frac{68}{63}\)
4 x 4 = 16
4 x 1 = 4
4 x 5 = 20
4 x 8 = 32
4 x 9 = 36
9 x 9 = 81
a) \(\frac{3}{5}\times y+\frac{1}{2}:\frac{5}{3}-\frac{5}{4}=\frac{1}{2}\times\frac{1}{3}\)
\(\Rightarrow\frac{3}{5}\times y+\frac{3}{10}-\frac{5}{4}=\frac{1}{6}\)
\(\Rightarrow\frac{3}{5}\times y+\left(-\frac{19}{20}\right)=\frac{1}{6}\)
\(\Rightarrow\frac{3}{5}\times y=\frac{67}{60}\)
\(\Rightarrow y=\frac{67}{36}\)
b) \(\frac{4}{5}:y+\frac{1}{4}\times\frac{1}{6}-\frac{1}{2}=\frac{1}{3}\times\frac{5}{2}\)
\(\Rightarrow\frac{4}{5}:y+\frac{1}{24}-\frac{1}{2}=\frac{5}{6}\)
\(\Rightarrow\frac{4}{5}:y+\left(-\frac{11}{24}\right)=\frac{5}{6}\)
\(\Rightarrow\frac{4}{5}:y=\frac{5}{6}+\frac{11}{24}=\frac{31}{24}\)
\(\Rightarrow y=\frac{4}{5}:\frac{31}{24}=\frac{96}{155}\)
c) \(\frac{3}{5}\times y-\frac{4}{5}:3+\frac{1}{12}=\frac{3}{2}+\frac{1}{5}\)
\(\Rightarrow\frac{3}{5}\times y-\frac{4}{15}+\frac{1}{12}=\frac{17}{10}\)
\(\Rightarrow\frac{3}{5}\times y-\frac{4}{15}=\frac{97}{60}\)
\(\Rightarrow\frac{3}{5}\times y=\frac{113}{60}\)
\(\Rightarrow y=\frac{113}{36}\)
\(1,\frac{3}{5}+\frac{7}{2}-\frac{4}{7}=\frac{42}{70}+\frac{245}{70}-\frac{40}{70}=\frac{247}{70}\)
\(2,\frac{4}{5}-\frac{1}{3}+\frac{3}{4}=\frac{48}{60}-\frac{20}{60}+\frac{45}{60}=\frac{73}{60}\)
\(3,\frac{1}{3}\times\frac{5}{7}:\frac{7}{2}=\frac{5}{21}:\frac{7}{2}=\frac{10}{147}\)
\(4,\frac{1}{2}:\frac{2}{7}\times\frac{4}{7}=\frac{7}{4}\times\frac{4}{7}=1\)
\(5,\frac{19}{15}\times\frac{3}{7}:\frac{4}{9}=\frac{19}{35}:\frac{4}{9}=\frac{171}{140}\)
\(6,\frac{11}{3}:\frac{9}{16}:\frac{3}{8}=\frac{176}{27}:\frac{3}{8}=\frac{1408}{81}\)
_Chúc bạn học tốt _
1. Rút gọn
\(\frac{8x20x4}{9x20x4}=\frac{8}{9}\)
\(\frac{7x9x12}{6x14x18}=\frac{1x1x2}{1x2x2}=\frac{2}{4}=\frac{1}{2}\)
\(\frac{2x3x5}{4x9x10}=\frac{1x1x1}{2x3x2}=\frac{1}{12}\)
2. tìm x
\(\frac{x}{27}=\frac{12}{18}\)
\(\frac{x}{27}=\frac{2}{3}\)
=> X x 3 = 27 x 2
X x 3 = 54
X = 54 : 3
X = 18
\(\frac{35}{49}=\frac{10}{x}\)
\(\frac{5}{7}=\frac{10}{x}\)
=> 5 x X = 7 x 10
5 x X = 70
X = 70 : 5
X = 14
1. \(\frac{8.20.4}{9.20.4}\)= \(\frac{8}{9}\)
\(\frac{7.9.12}{6.14.18}\)= \(\frac{7.9.6.2}{6.7.2.9.2}\)= \(\frac{1}{2}\)
\(\frac{2.3.5}{4.9.10}\)= \(\frac{2.3.5}{2.2.3.3.2.5}\)= \(\frac{1}{12}\)
2. \(\frac{x}{27}\)= \(\frac{12}{18}\) \(\frac{35}{49}\)= \(\frac{10}{x}\)
Ta có : \(\frac{12}{18}\)= \(\frac{6}{9}\) Ta có : \(\frac{35}{49}\)= \(\frac{70}{98}\)
Mà \(\frac{x}{27}\)= \(\frac{6}{9}\) Mà \(\frac{10}{x}\)= \(\frac{70}{98}\)
\(\Rightarrow\)\(x\)= \(27:9.6\) \(\Rightarrow\)\(x\)= \(98:\left(70:10\right)\)
Chú ý : '' \(.\)" là dấu nhân.
\(x+\frac{x}{5}\times\frac{15}{2}+\frac{x}{2}\times9=315\)
\(\Leftrightarrow x+\frac{3x}{2}+\frac{9x}{2}=315\)
\(\Leftrightarrow7x=315\Rightarrow x=45\)
\(x\div\frac{2}{5}=\frac{2}{9}\)
\(x=\frac{2}{9}\times\frac{2}{5}\)
\(x=\frac{4}{45}\)
\(x+x=2=>2x=2\)
\(=>x=1\)
x + x = 2
2x = 2
x = 2 : 2
x = 1