\(D=\frac{202202}{1212}+\frac{202202}{2020}+\frac{202202}{3030}+\frac{202202}{4242}+\frac{202202}{5656}\)
\(D=\frac{2002.101}{101.12}+\frac{2002.101}{20.101}+\frac{2002.101}{30.101}+\frac{2002.101}{42.101}+\frac{2002.101}{56.101}\)
\(D=\frac{2002}{12}+\frac{2002}{20}+\frac{2002}{30}+\frac{2002}{42}+\frac{2002}{56}\)
\(D=\frac{1001}{6}+\frac{1001}{10}+\frac{1001}{15}+\frac{143}{3}+\frac{143}{4}\)
\(D=\frac{5005}{12}\)
đáp án là 5005/12 nhé bạn
tích cho mik nha
\(Rút\)\(gọn:\)\(\frac{1001}{6}+\frac{1001}{10}+\frac{1001}{15}+\frac{143}{3}+\frac{143}{4}\)
\(=\frac{1001}{3}+\frac{1001}{12}=\frac{5005}{12}\)
\(\frac{202202}{1212}+\frac{202202}{2020}+\frac{202202}{3030}+\frac{202202}{4242}+\frac{202202}{5656}\)
\(=\frac{202}{12}+\frac{202}{20}+\frac{202}{30}+\frac{202}{42}+\frac{202}{56}\)
\(=\frac{202}{3.4}+\frac{202}{4.5}+\frac{202}{5.6}+\frac{202}{6.7}+\frac{202}{7.8}\)
\(=202\left(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}\right)\)
\(=202\left[\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{7}-\frac{1}{8}\right]\)
\(=202\left(\frac{1}{3}-\frac{1}{8}\right)\)
\(=202.\frac{5}{24}=\frac{505}{12}\)
D = 1001/6 + 1001/10 + 1001/15 + 143/3 + 143/4
D=1001/3 + 1001/12
D=4004/12 + 1001/12
D=5005/12
