B = \(\frac{8}{9}.\frac{15}{16}.\frac{24}{25}...\frac{3599}{3600}\)
= \(\frac{2.4}{3.3}.\frac{3.5}{4.4}.\frac{4.6}{5.5}...\frac{59.61}{60.60}\)
= \(\frac{2.4.3.5.4.6...59.61}{3.3.4.4.5.5...60.60}\)
= \(\frac{2.3....59}{3.4...60}.\frac{4.5...61}{3.4...60}\)
= \(\frac{2}{60}.\frac{61}{3}\)= \(\frac{61}{90}\)
Chúc bạn học tốt!
Tính tích
M=\(\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}\cdot\frac{24}{25}\cdot...\cdot\frac{99}{100}\)
Rút gọn biểu thức A=\(\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}\cdot\frac{24}{25}\cdot....\cdot\frac{899}{900}\)ta được A=......
(Nhập kết quả dạng phân số tối giản)
\(B=\frac{3}{4}\cdot\frac{8}{9}\cdot\frac{15}{16}\cdot...\cdot\frac{120}{121}\)
Giúp mk vs
tính:
A=\(\frac{1^2}{1\cdot2}\cdot\frac{2^2}{2\cdot3}\cdot\frac{3^2}{3\cdot4}\cdot\frac{4^2}{4\cdot5}...\frac{8^2}{8\cdot9}\cdot\frac{9^2}{9\cdot10}\)
B=\(\frac{2^2}{3}\cdot\frac{^{3^2}}{8}\cdot\frac{4^2}{15}\cdot\frac{6^2}{35}\cdot\frac{7^2}{48}\cdot\frac{8^2}{63}\cdot\frac{9^2}{80}\)
\(\frac{16}{15}\cdot\frac{-5}{14}\cdot\frac{54}{24}\cdot\frac{56}{21}\)
a) \(\left(\frac{11}{4}\cdot\frac{-5}{9}-\frac{4}{9}\cdot\frac{11}{4}\right)\cdot\frac{8}{33}\)
b) \(\frac{-1}{4}\cdot\frac{152}{11}+\frac{68}{4}\cdot\frac{-1}{11}\)
c) \(\frac{-2}{3}\cdot\frac{4}{5}+\frac{2}{3}\cdot\frac{3}{5}\)
d) \(\left(\frac{1}{2}-1\right)\cdot\left(\frac{1}{3}-1\right)\cdot\left(\frac{1}{4}-1\right)\cdot....\cdot\left(\frac{1}{100}-1\right)\)
e) \(\frac{3}{2^2}\cdot\frac{8}{3^2}\cdot\frac{15}{4^2}\cdot...\cdot\frac{8^{99}}{30^2}\)
Tìm các tích sau :
a/ \(\frac{16}{15}\times\frac{-5}{14}\times\frac{64}{24}\times\frac{56}{21}\)
b/ \(\frac{7}{3}\cdot\frac{-5}{2}\cdot\frac{15}{21}\cdot\frac{4}{-5}\)
1. Tính tổng
\(\frac{1}{2}\cdot\frac{1}{3}\cdot+\frac{1}{3}\cdot\frac{1}{4}+\frac{1}{4}\cdot\frac{1}{5}+\frac{1}{5}\cdot\frac{1}{6}+\frac{1}{6}\cdot\frac{1}{7}+\frac{1}{7}\cdot\frac{1}{8}+\frac{1}{8}\cdot\frac{1}{9}\)
Thực hiện phép tính:
a) \(\frac{-7}{9}+\frac{5}{12}-\frac{13}{18}\)
b)\(0,25 \cdot 30 \cdot 2 \cdot \frac{1}{3} \cdot \frac{8}{45} \cdot 0,5\)
c) \((4-\frac{5}{12}) : 4+\frac{5}{24}\)
Help me, please!!!
