\(\frac27\times5\frac14-\frac27\times3\frac14\)

=\(\frac27\times\left(5\frac14-3\frac14\right)\)

=\(\frac27\times\left(\left(5-3\right)+\left(\frac14-\frac15\right)\right)\)

=\(\frac27\times\left(2+0\right)\)

=\(\frac27\times2\)

=\(\frac47\)

OLM chào em chào mùng em đã trở thành thành viên của OLM công đông tri thức hàng đầu Việt Nam

g)\(\frac{7}{19}\times\frac{8}{11}+\frac{7}{19}\times\frac{3}{11}+\frac{12}{19}\)

=\(\frac{7}{19}\times\left(\frac{8}{11}+\frac{3}{11}\right)+\frac{12}{19}\)

=\(\frac{7}{19}\times1+\frac{12}{19}\)

=\(\frac{7}{19}+\frac{12}{19}\)

=\(\frac{19}{19}=1\)

e)\(11\frac14-\left(2\frac57+5\frac14\right)\)

=\(11\frac14-2\frac57-5\frac14\)

=\(\left(11-5\right)+\left(\frac14-\frac14\right)-2\frac57\)

=6- 0 - \(\frac{19}{7}\)

=\(\frac{42}{7}-\frac{19}{7}\)

=\(\frac{23}{7}\)

d)\(2\frac{13}{27}-\frac{7}{15}+3\frac{14}{27}-\frac{8}{15}\)

=\(\left(2+3\right)+\left(\frac{13}{27}+\frac{14}{27}\right)-\left(\frac{7}{15}+\frac{8}{15}\right)\)

=\(5+1-1\)

=5

d)\(4\frac{11}{23}-\frac{9}{14}+2\frac{12}{23}-\frac54\)

=\(\left(4+2\right)+\left(\frac{11}{23}+\frac{12}{23}\right)-\frac{9}{14}-\frac54\)

=\(6+1-\frac{9}{14}-\frac54\)

=\(7-\frac{9}{14}-\frac54\)

=\(\frac{196}{28}-\frac{18}{28}-\frac{35}{28}\)

=\(\frac{143}{28}\)