Tính bằng cách thuận tiện
a, 35/17 + 29/36 - 18/17 + 7/36 + 24/5 - 9/5
b, 48/36 x 92/74 + 36/52 x 74/23
c, ( 1 + 1/2 ) x ( 1 + 1/3 ) x ( 1 + 1/4 ) x .... ( x 1/2022 )
Dấu / được viết dưới dạng phân số . Gấp ! Bạn nào giải được mình tặng 5 sao nha
\(\left(a\right):\dfrac{35}{17}+\dfrac{29}{36}-\dfrac{18}{17}+\dfrac{7}{36}+\dfrac{24}{5}-\dfrac{9}{5}\\ =\left(\dfrac{35}{17}-\dfrac{18}{17}\right)+\left(\dfrac{29}{36}+\dfrac{7}{36}\right)+\left(\dfrac{24}{5}-\dfrac{9}{5}\right)\\ =\dfrac{17}{17}+\dfrac{36}{36}+\dfrac{15}{5}\\ =1+1+3=5\)
\(\left(c\right):\left(1+\dfrac{1}{2}\right)\times\left(1+\dfrac{1}{3}\right)\times\left(1+\dfrac{1}{4}\right)\times...\times\left(1+\dfrac{1}{2022}\right)\\ =\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times...\times\dfrac{2023}{2022}\\ =\dfrac{3\times4\times5\times...\times2023}{2\times3\times4\times...\times2022}\\ =\dfrac{2023}{2}\)