Question

1/1.2+1/2.3+1/3.4+.........+1/14.15+1/15.16

giup minh voi nhanh len nhe minh tick cho nha

 

Answer 1

\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{14.15}+\frac{1}{15.16}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{14}-\frac{1}{15}+\frac{1}{15}-\frac{1}{16}\)

\(=1-\frac{1}{16}\)

\(=\frac{15}{16}\)

Chúc bạn học giỏi nha!!!

K cho mik vs nhé 

Answer 2

1/1.2+1/2.3+1/3.4+.........+1/14.15+1/15.16

=1-1/2+1/2-1/3+...+1/15-1/16

=1-1/16

=15/16  *k mk nha*

Answer 3

\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{14.15}+\frac{1}{15.16}\)

\(=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{14}-\frac{1}{15}+\frac{1}{15}-\frac{1}{16}\)

\(=1-\frac{1}{16}\)

\(=\frac{16}{16}-\frac{1}{16}=\frac{15}{16}\)

Answer 4

\(\frac{1}{1.2}\)+  \(\frac{1}{2.3}\)+    \(\frac{1}{3.4}\)+   ....... +    \(\frac{1}{14.15}\)+   \(\frac{1}{15.16}\)

=   \(\frac{1}{1}\)_    \(\frac{1}{2}\)+  \(\frac{1}{2}\)_    \(\frac{1}{3}\)+   \(\frac{1}{3}\)_   \(\frac{1}{4}\)+ ........+   \(\frac{1}{14}\)_  \(\frac{1}{15}\)+   \(\frac{1}{15}\)_   \(\frac{1}{16}\)

=  \(\frac{1}{1}\)_   \(\frac{1}{16}\)

=     \(\frac{15}{16}\)

Answer 5

\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{14.15}+\frac{1}{15.16}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{15}+\frac{1}{15}-\frac{1}{16}\)

\(=1-\frac{1}{16}\)

\(=\frac{16}{16}-\frac{1}{16}\)

\(=\frac{15}{16}\)