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\(a.x+\dfrac{3}{7}=\dfrac{2}{5}:\dfrac{18}{35}\\x+\dfrac{3}{7}=\dfrac{2}{5}\times\dfrac{35}{18} \\ x+\dfrac{3}{7}=\dfrac{7}{9}\\ x=\dfrac{7}{9}-\dfrac{3}{7}\\ x=\dfrac{22}{63}\)
\(b.x\times\dfrac{5}{9}=\dfrac{4}{5}-\dfrac{1}{3}\\x\times\dfrac{5}{9}=\dfrac{7}{15}\\ x=\dfrac{7}{15}:\dfrac{5}{9}\\ x= \dfrac{21}{25}\)
a. x + \(\dfrac{3}{7}\)= \(\dfrac{2}{5}:\dfrac{18}{25}=>x+\dfrac{3}{7}=\dfrac{2}{5}\)x\(\dfrac{35}{18}=>x+\dfrac{3}{7}=\dfrac{7}{9}\)
=> x = \(\dfrac{7}{9}-\dfrac{3}{7}=\dfrac{49}{63}-\dfrac{27}{63}=\dfrac{22}{63}\)
b. \(x\) x \(\dfrac{5}{9}\)= \(\dfrac{4}{5}-\dfrac{1}{3}\)
=> \(x\) x \(\dfrac{5}{9}\)= \(\dfrac{12}{15}-\dfrac{5}{15}=>x\) x \(\dfrac{5}{9}\)= \(\dfrac{7}{15}\)
=> x = \(\dfrac{7}{15}:\dfrac{5}{9}\)
=> x = \(\dfrac{21}{25}\)
a) \(\dfrac{2}{9}+\dfrac{3}{5}-\dfrac{1}{15}=\dfrac{37}{45}-\dfrac{1}{15}=\dfrac{37}{45}-\dfrac{3}{45}=\dfrac{34}{45}\)
b) \(\dfrac{5}{12}\times\dfrac{4}{5}\div4=\dfrac{1}{3}\div4=\dfrac{1}{12}\)
c) \(\dfrac{8}{9}-\dfrac{4}{15}\div\dfrac{2}{5}=\dfrac{8}{9}-\dfrac{2}{3}=\dfrac{8}{9}-\dfrac{6}{9}=\dfrac{2}{9}\)
a, 37/9 - Y = 6/5 x 15/16
37/9 - Y = 9/8
Y = 37/9 - 9/8
Y = 296/72 - 81/72
Y = 215/72
b, Y x 3/15 = 4/5 - 2/3
Y x 3/15 = 2/15
Y = 2/15 : 3/15
Y = 2/15 x 15/3
Y = 2/3
\(\dfrac{4}{5}\times\dfrac{5}{8}=\dfrac{20}{40}=\dfrac{1}{2}\)
\(\dfrac{7}{15}+\dfrac{4}{5}=\dfrac{7}{15}+\dfrac{12}{15}=\dfrac{19}{15}\)
\(\dfrac{2}{3}-\dfrac{3}{8}=\dfrac{16}{24}-\dfrac{9}{24}=\dfrac{7}{24}\)
\(\dfrac{1}{2}\div\dfrac{2}{5}=\dfrac{1}{2}\times\dfrac{5}{2}=\dfrac{5}{4}\)
2/3 x X = 1/4 X x 1/5 = 1/2 X : 7/8 = 2/3
X = 1/4 : 2/3 X = 1/2 : 1/5 X = 2/3 x 7/8
X = 3/8 X = 5/2 X = 7/12
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\(\dfrac{3}{4}\cdot\dfrac{2}{5}+\dfrac{3}{4}\cdot\dfrac{2}{5}\)
\(=\dfrac{3}{4}\cdot\dfrac{2}{5}\left(1+1\right)\)
\(=\dfrac{6}{20}\cdot2\)
\(=\dfrac{12}{20}=\dfrac{3}{5}\)
\(x:\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{5}{3}\\ \Rightarrow x:\dfrac{1}{2}=\dfrac{9}{12}+\dfrac{20}{12}\\ \Rightarrow x:\dfrac{1}{2}=\dfrac{29}{12}\\ \Rightarrow x=\dfrac{29}{12}\times\dfrac{1}{2}\\ \Rightarrow x=\dfrac{29}{24}\)
\(x\div\dfrac{1}{2}=\dfrac{3}{4}+\dfrac{5}{3}\)
\(x\div\dfrac{1}{2}=\dfrac{29}{12}\)
\(x=\dfrac{29}{12}\times\dfrac{1}{2}\)
\(x=\dfrac{29}{24}\)