`2/5 xx 4/7 + 3/5 xx 4/7`
`= 4/7 xx (2/5 + 3/5)`
`= 4/7 xx 1`
`= 4/7`
\(\dfrac{2}{5}\times\dfrac{4}{7}+\dfrac{3}{5}\times\dfrac{4}{7}=\left(\dfrac{2}{5}+\dfrac{3}{5}\right)\times\dfrac{4}{7}=\dfrac{5}{5}\times\dfrac{4}{7}=1\times\dfrac{4}{7}=\dfrac{4}{7}\)
\(=\dfrac{4}{7}\times\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=\dfrac{4}{7}\)
`2/5xx4/7+3/5xx4/7`
`=(2/5+3/5)xx4/7`
`=1xx4/7`
`=4/7`
`@An`
\(\dfrac{4}{7}\times\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=\dfrac{4}{7}\times\dfrac{5}{5}=\dfrac{4}{7}\times1=\dfrac{4}{7}\)
\(\dfrac{4}{7}\left(\dfrac{2}{5}+\dfrac{3}{5}\right)=\dfrac{4}{7}\times\dfrac{5}{5}=\dfrac{4}{7}\times1=\dfrac{4}{7}\)
4/7 x ( 2/5 + 3/5)=
4/7 x 5/5 = 4/7 x 1 = 4/7
\(\dfrac{2}{5}\times\dfrac{4}{7}+\dfrac{3}{5}\times\dfrac{4}{7}\)
\(=\dfrac{4}{7}\times\left(\dfrac{2}{5}+\dfrac{3}{5}\right)\)
\(=\dfrac{4}{7}\times\dfrac{5}{5}=\dfrac{4}{7}\)