Question

giúp mik với mik đang gần gấp

1/15+1/35+1/63+1/99+1/43=?

mọi người giải chi tiết giúp mik nhé

Answer 1

\(=\dfrac{1}{2}\left(\dfrac{2}{15}+\dfrac{2}{35}+\dfrac{2}{63}+\dfrac{2}{99}+\dfrac{2}{143}\right)\)

\(=\dfrac{1}{2}\left(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{11}+\dfrac{1}{11}-\dfrac{1}{13}\right)\)

\(=\dfrac{1}{2}\cdot\dfrac{10}{39}=\dfrac{5}{39}\)

Answer 2

= 5/39