tinh nhanh tong sau 1 phan 2 cong 1 phan 4 cong 1 phan 8 cong 1 phan 10 cong 1 phan 16 cong 1 phan 32 cong 1 phan 64 cong 1 phan 128
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\(\frac{4}{5}+\frac{2}{7}+\frac{11}{5}+\frac{12}{7}+\frac{1}{5}\)
\(=\frac{4}{5}+\frac{11}{5}+\frac{1}{5}+\frac{2}{7}+\frac{12}{7}\)
\(=\frac{4+11+1}{5}+\frac{2+12}{7}\)
\(=\frac{16}{5}+\frac{14}{7}\)
\(=\frac{16}{5}+2=\frac{26}{5}\)
\(\frac{4}{5}+\frac{2}{7}+\frac{11}{5}+\frac{12}{7}+\frac{1}{5}\)
\(=\left(\frac{4}{5}+\frac{11}{5}+\frac{1}{5}\right)+\left(\frac{2}{7}+\frac{12}{7}\right)\)
\(=\frac{16}{5}+\frac{14}{7}\)
\(=\frac{16}{5}+2=\frac{16}{5}+\frac{10}{5}=\frac{26}{5}\)
Ta có 1/11; 1/12; 1/13;...; 1/39 > 1/40
\(\Rightarrow\) A = 1/11 + 1/12 + 1/13 +...+ 1/39 +1/40 > 1/40 + 1/40 + 1/40 +...+ 1/40 + 1/40(có 30 số hạng)
A > 30/40
Mà 30/40 =3/4 nên A >3/4
Vậy A > 3/4
1 + 1/2 + 1/3 + 1/4
= 12/12 + 6/12 + 4/12 + 3/12
= 25/12
#Tề _ Thiên
1 + \(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}\)
= \(\frac{12}{12}+\frac{6}{12}+\frac{4}{12}+\frac{3}{12}\)
= \(\frac{25}{12}\)
\(\dfrac{1}{6}+\dfrac{3}{4}+\dfrac{1}{8}=\dfrac{4}{24}+\dfrac{18}{24}+\dfrac{3}{24}=\dfrac{25}{24}\)
1/2+1/4+1/8+1/10+1/16+1/32+1/64+1/128
=1-1/2+1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/16+1/16-1/32+1/32-1/64+1/64-1/128+1/128
=1-1/128
=127/128
#Sagittarius#