Question

1. Tính giá trị biểu thức sau😬😬😬😬😬

3/5+6/11+7/13+5/2+16/11+19/13

(1-1/2)(1-1/3)(1-1/4)...(1-1/100)

131*1961+1000/132*1962-961

1313/2121+165165/143143+424242/151515

1/2+1/4+1/8+1/16+1/32

 

Answer 1

1)    \(\frac{3}{5}+\frac{6}{11}+\frac{7}{13}+\frac{2}{5}+\frac{16}{11}+\frac{19}{13}\)

\(=\left(\frac{3}{5}+\frac{2}{5}\right)+\left(\frac{6}{11}+\frac{16}{11}\right)+\left(\frac{7}{13}+\frac{19}{13}\right)\)

\(=1+2+2\)

\(=5\)

2)   \(\left(1-\frac{1}{2}\right)\left(1-\frac{1}{3}\right)......\left(1-\frac{1}{100}\right)\)

\(=\frac{1}{2}.\frac{2}{3}........\frac{99}{100}\)

\(=\frac{1}{100}\)

3)   \(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}=\frac{31}{32}\)