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\(2\times3\times5\times7\)
\(=\left(2\times5\right)\times\left(3\times7\right)\)
\(=10\times21\)
\(=210\)
\(=\dfrac{2}{5}\cdot\dfrac{7}{3}\cdot\dfrac{3}{7}\cdot\dfrac{5}{2}+2020=1+2020=2021\)
`2/5 xx 4/7 + 3/5 xx 4/7`
`= 4/7 xx (2/5 + 3/5)`
`= 4/7 xx 1`
`= 4/7`
\(a)\frac{3}{5}\times\frac{2}{5}+\frac{3}{4}\times\frac{3}{5}\)
\(=\frac{3}{5}\times\left(\frac{2}{5}+\frac{3}{4}\right)\)
\(=\frac{3}{5}\times\left(\frac{8}{20}+\frac{15}{20}\right)\)
\(=\frac{3}{5}\times\frac{23}{20}\)
\(=\frac{69}{100}\)
\(b)\frac{5}{9}\times\frac{7}{3}\times\frac{9}{5}\)
\(=\left(\frac{5}{9}\times\frac{9}{5}\right)\times\frac{7}{3}\)
\(=1\times\frac{7}{3}\)
\(=\frac{7}{3}\)
\(\dfrac{7}{10}\times\left(3+5+2\right)=\dfrac{7}{10}\times10=\dfrac{70}{10}=7\)
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
\(\dfrac{2}{3}:\dfrac{5}{7}\times\dfrac{5}{7}:\dfrac{2}{3}+2024\)
\(=\dfrac{2}{3}\times\dfrac{7}{5}\times\dfrac{5}{7}\times\dfrac{3}{2}+2024\)
=1+2024=2025