5/2.1+4/1.11+3/11.2+1/2.15+13/15.4

-> 5/2+4/11+3/22+1/30+13/60

-> 1650/660+240/660+90/660+22/660+143/660

-> 2145/660

-> 13/4

5/2.1+4/1.11+3/11.2+1/12.15+13/15.4

=7.(5/2.7+4/7.11+3/11.14+1/14.15+13/15.28)

=7.(1/2-1/7+1/7-1/11+1/11-1/14+1/14-1/15+1/15-1/28)

=7.(1/2-1/28)=13/14=hỗn số 3 1 phần 4

\(n=7\left(\frac{5}{2.7}+\frac{4}{7.11}+\frac{3}{11.14}+\frac{1}{14.15}+\frac{13}{15.28}\right)\)

\(tacocongthuc:\frac{1}{n}-\frac{1}{n+k}=\frac{k}{n\left(n+k\right)}\)

\(\Rightarrow n=7\left(\frac{1}{2}-\frac{1}{7}+\frac{1}{7}-.....-\frac{1}{28}\right)=7\left(\frac{1}{2}-\frac{1}{28}\right)=\frac{7.13}{28}=\frac{13}{4}\)

#)Giải :

( k chép lại đề )

\(\frac{n}{7}=\frac{5}{2.7}+\frac{4}{7.11}+\frac{3}{11.14}+\frac{1}{14.15}+\frac{13}{15.4}\)

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

\(\frac{n}{7}=\frac{1}{2}-\frac{1}{28}=\frac{13}{28}\)

\(\Rightarrow n=\frac{13}{28}.7=\frac{13}{4}\)

xin hãy trả lời

xin hãy trả lời

Giải:

1/15.2+3/2.11+4/11.1+5/1.2 (đề bài thế này mới ra đc kết quả nha bạn)

=(1/15.14+3/14.11+4/11.7+5/7.2):1/7

=(1/15-1/14+1/14-1/11+1/11-1/7+1/7-1/2):1/7

=(1/15-1/2):1/7

=-13/30:1/7

=-91/30

Chúc bạn học tốt!