Question

[Nguyễn Phương Nhi]

Giúp với ạ ^^!

Answer 1

[Trang]

a/ \(\left(\frac{2}{5}+\frac{2}{7}-\frac{2}{11}\right):\left(\frac{3}{7}-\frac{3}{11}+\frac{3}{5}\right)\)

= \(\left(\frac{2}{7}-\frac{2}{11}+\frac{2}{5}\right):\left(\frac{3}{7}-\frac{3}{11}+\frac{3}{5}\right)\)

= \(2\left(\frac{1}{7}-\frac{1}{11}+\frac{1}{5}\right):3\left(\frac{1}{7}-\frac{1}{11}+\frac{1}{5}\right)\)

= 2:3

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

b/ \(\frac{0,125-\frac{1}{5}+\frac{1}{7}}{0,375-\frac{3}{5}+\frac{3}{7}}+\frac{\frac{1}{2}+\frac{1}{3}-0,2}{\frac{3}{4}+0,5-\frac{3}{10}}\)

= \(\frac{\frac{1}{8}-\frac{1}{5}+\frac{1}{7}}{\frac{3}{8}-\frac{3}{5}+\frac{3}{7}}+\frac{\frac{1}{2}+\frac{1}{3}-\frac{1}{5}}{\frac{3}{4}+\frac{3}{6}-\frac{3}{10}}\)

= \(\frac{\frac{1}{8}-\frac{1}{5}+\frac{1}{7}}{3\left(\frac{1}{8}-\frac{1}{5}+\frac{1}{7}\right)}+\frac{\frac{1}{2}+\frac{1}{3}-\frac{1}{5}}{\frac{3}{2}\left(\frac{1}{2}+\frac{1}{3}-\frac{1}{5}\right)}\)

= \(\frac{1}{3}+\frac{1}{\frac{3}{2}}\)

= \(\frac{1}{3}+\frac{2}{3}\)

= 1