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`2/5 xx 4/7 + 3/5 xx 4/7`
`= 4/7 xx (2/5 + 3/5)`
`= 4/7 xx 1`
`= 4/7`
\(\dfrac{4}{7}x\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=\dfrac{4}{7}x1=\dfrac{4}{7}\)
17/24 : 7/4 - 5/12 : 7/4 + 3/4 : 7/4
= 17/24 × 4/7 - 5/12 × 4/7 + 3/4 × 4/7
= 4/7 × (17/24 - 5/12 + 3/4)
= 4/7 × 25/24
= = 25/42
a, \(=\left(\dfrac{4}{7}+\dfrac{3}{7}\right)+\left(\dfrac{3}{5}+\dfrac{3}{5}\right)=1+\dfrac{6}{5}=\dfrac{5+6}{5}=\dfrac{11}{5}\)
\(=\dfrac{3}{7}\left(\dfrac{5}{4}-\dfrac{2}{9}\right)=\dfrac{3}{7}\cdot\dfrac{45-8}{36}=\dfrac{3}{36}\cdot\dfrac{37}{7}=\dfrac{37}{84}\)
\(\dfrac{3}{7}:\dfrac{4}{5}-\dfrac{3}{7}:\dfrac{9}{2}\)
\(=\dfrac{3}{7}\times\dfrac{5}{4}-\dfrac{3}{7}\times\dfrac{2}{9}\)
\(=\dfrac{3}{7}\times\left(\dfrac{5}{4}-\dfrac{2}{9}\right)\)
\(=\dfrac{3}{7}\times\left(\dfrac{45}{36}-\dfrac{8}{36}\right)\)
\(=\dfrac{3}{7}\times\dfrac{37}{36}\)
\(=\dfrac{37}{84}\)
#DatNe
5/7+2/3-4/7+4/3
=(5/7+4/7)-(2/3+4/3)
=9/7+6/3
=27/21+42/21
=69/21
\(\frac{5}{7}+\frac{2}{3}-\frac{4}{7}+\frac{4}{3}\)
\(=\left(\frac{5}{7}-\frac{4}{7}\right)+\left(\frac{2}{3}+\frac{4}{3}\right)\)
\(=\frac{1}{7}+2\)
\(=\frac{15}{7}\)