Question

Rút gọn phân số sau:

 \(\frac{3.7.13.37.39-10101}{505050+70707}\)

Answer 1

\(\frac{2}{3}\)

Answer 2

\(\frac{3.7.13.37.19-10101}{505050+70707}\)=\(\frac{10101.39-10101}{10101.50+10101.7}\)=\(\frac{10101.\left(39-1\right)}{10101.\left(50+7\right)}\)=\(\frac{38}{57}\)=\(\frac{2}{3}\)

Answer 3

\(\frac{3.7.13.37.39-10101}{505050+70707}\)

\(=\frac{\left(3.7.13.37\right).39-10101}{50.10101+7.10101}\)

\(=\frac{10101.39-10101.1}{\left(50+7\right).10101}\)

\(=\frac{\left(39-1\right).10101}{57.10101}\)

\(=\frac{38.10101}{57.10101}\)

\(=\frac{38}{57}=\frac{38:19}{57:19}=\frac{2}{3}\)