Question

a) Tính giá trị biểu thức sau một cách hợp lí:

               \(\frac{8}{15}\). \((\)\(\frac{3333}{1212}\)+ \(\frac{3333}{2020}\) + \(\frac{3333}{4242}\)+ \(\frac{3333}{5656}\))

b) Rút gọn phân số sau:        \(\frac{19999999999}{99999999995}\)

Answer 1

\(\frac{8}{15}.\left(\frac{3333}{1212}+\frac{3333}{2020}+\frac{3333}{4242}+\frac{3333}{5656}\right)\)

= \(\frac{8}{15}.\left(\frac{11}{4}+\frac{33}{20}+\frac{11}{14}+\frac{33}{56}\right)\)

= \(\frac{8}{15}.\frac{231}{40}\)

= \(\frac{77}{25}\)

Answer 2

\(\frac{19999999999}{99999999995}\)

\(=\frac{19999999999:19999999999}{99999999995:19999999999}\)

\(=\frac{1}{5}\)