Question

[vinhhathi2]

3/5+3/11-[-3/7]+2/97-1/35-3/4+22/44

Answer 1

[╰Nguyễn Trí Nghĩa (team toán học)ッ...]

\(\frac{3}{5}+\frac{3}{11}-\left(\frac{-3}{7}\right)+\frac{2}{97}-\frac{1}{35}-\frac{3}{4}+\frac{22}{44}\)

\(=\frac{3}{5}+\frac{3}{11}+\frac{3}{7}+\frac{2}{97}-\frac{1}{35}-\frac{3}{4}+\frac{22}{44}\)

\(=\frac{3}{5}+\frac{3}{7}-\frac{1}{35}+\frac{3}{11}-\frac{3}{4}+\frac{22}{44}+\frac{2}{97}\)

\(=\left(\frac{3}{5}+\frac{3}{7}-\frac{1}{35}\right)+\left(\frac{3}{11}-\frac{3}{4}+\frac{22}{44}\right)+\frac{2}{97}\)

\(=\left(\frac{21}{35}+\frac{15}{35}-\frac{1}{35}\right)+\left(\frac{12}{44}-\frac{33}{44}+\frac{22}{44}\right)+\frac{2}{97}\)

\(=\frac{35}{35}+\frac{1}{44}+\frac{2}{97}\)

\(=1+\left(\frac{1}{44}+\frac{2}{97}\right)\)

\(=1+\left(\frac{97}{4268}+\frac{88}{4268}\right)\)

\(=1+\frac{185}{4268}=1\frac{185}{4268}\)

Chúc bạn học tốt

Answer 2

[Kiyotaka Ayanokoji]

Trả lời:

\(\frac{3}{5}+\frac{3}{11}-\left(\frac{-3}{7}\right)+\frac{2}{97}-\frac{1}{35}-\frac{3}{4}+\frac{22}{44}\)

\(=\frac{3}{5}+\frac{3}{11}+\frac{3}{7}+\frac{2}{97}-\frac{1}{35}-\frac{3}{4}+\frac{22}{44}\)

\(=\left(\frac{3}{5}+\frac{3}{7}-\frac{1}{35}\right)+\left(\frac{3}{11}-\frac{3}{4}+\frac{22}{44}\right)+\frac{2}{97}\)

\(=1+\frac{1}{44}+\frac{2}{97}\)

\(=\frac{4453}{4268}\)