Question

Tính nhanh 5/2 x 1 + 4/1 x 11 + 3/11 x 2+1/2 x 15 + 13/15 x 4

Answer 1

Đặt A = \(\frac{5}{2.1}+\frac{4}{1.11}+\frac{3}{11.2}+\frac{1}{2.15}+\frac{13}{15.4}\)

=> \(\frac{1}{7}A=\frac{5}{2.7}+\frac{4}{7.11}+\frac{3}{11.14}+\frac{1}{14.15}+\frac{13}{15.28}\)

=> \(\frac{1}{7}A=\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{15}+\frac{1}{15}-\frac{1}{28}\)

=> \(\frac{1}{7}A=\frac{1}{2}-\frac{1}{28}\)

=> \(\frac{1}{7}A=\frac{14}{28}-\frac{1}{28}\)

=>\(\frac{1}{7}A=\frac{13}{28}\)

=> A = \(\frac{13}{28}:\frac{1}{7}\)

=> A =\(\frac{13}{28}.7\)

=> A = \(\frac{13}{4}\)

Answer 2

\(58\frac{2}{165}\)