Question

   Tính nhanh:

a. 2025/2024 + 2022/2023 + 1/2023✖2024

b. 15✖14-1/ 13✖15+14

c. 17/2- 3/4-1/2-1/4

d.13✖7/2+7/2✖6+7/2

    Mọi người giúp fami với ạ. Em cảm ơn ạ!!

Answer 1

a: \(\dfrac{2025}{2024}+\dfrac{2022}{2023}+\dfrac{1}{2023\times2024}\)

\(=1+\dfrac{1}{2024}+1-\dfrac{1}{2023}+\dfrac{1}{2023}-\dfrac{1}{2024}\)

=2

b: \(\dfrac{15\times14-1}{13\times15+14}\)

\(=\dfrac{14\times\left(14+1\right)-1}{14+\left(14-1\right)\left(14+1\right)}\)

\(=\dfrac{14^2+13}{14^2+13}=1\)

c: \(\dfrac{17}{2}-\dfrac{3}{4}-\dfrac{1}{2}-\dfrac{1}{4}\)

\(=\left(\dfrac{17}{2}-\dfrac{1}{2}\right)-\left(\dfrac{3}{4}+\dfrac{1}{4}\right)\)

\(=\dfrac{16}{2}-1=8-1=7\)

d: \(13\times\dfrac{7}{2}+\dfrac{7}{2}\times6+\dfrac{7}{2}\)

\(=\dfrac{7}{2}\times\left(13+6+1\right)\)

\(=\dfrac{7}{2}\times20=70\)