8/9*15/16*24/25*35/36*48/49*63/64*80/81*99/100
4/3*9/8*16/15*25/24*36/35*49/48*64/63*81/80
\(\frac{4}{3}\times\frac{9}{8}\times...\times\frac{81}{80}=\frac{2^2}{1\times3}\times\frac{3^2}{2\times4}\times...\times\frac{9^2}{8\times10}\)
\(=\frac{2\times3\times4\times...\times9}{1\times2\times3\times...\times8}\times\frac{2\times3\times4\times...\times9}{3\times4\times5\times...\times10}\\ =\frac{9}{1}\times\frac{2}{10}=\frac{9}{5}\)
4/3.9/8.16/15.25/24.36/35.49/48.64/63.81/80
=3/2.16/15.25/24.36/35.49/48.64/63.81/80
=5/3.36/35.49/48.64/63.81/80
=7/4.64/63.81/80
=9/5
+
A=3/4 ×8/9 ×15/16 ×24/25 ×35/36 ×63/64 ×80/81 ×99/100
=(1-1/2)(1+1/2)*...*(1+1/10)(1-1/10)
=1/2*2/3*...*9/10*3/2*4/3*...*11/10
=1/10*11/2
=11/20
a,1\(\frac{11}{12}\) + 5/12*(4/5 - 1/10) :5/12
b, 3/4*8/9*15/16*24/15*35/36*48/49*63/64*80/81*99/100*120/121
Tinh nhanh
8/9 . 15/16. 24/25 . 35/36 .48/ 49 . 63/ 64 .80/ 81
cac ban oi giup minh voi nhe ai dung minh tick cho nhe
\(m=\frac{3}{4}+\frac{8}{9}+\frac{15}{16}+\frac{24}{25}+\frac{35}{36}+\frac{48}{49}+\frac{63}{64}+\frac{80}{81}\)
chứng tò, 7<m<8
C = 8/9 * 15/16 * 24/25 * 35/36 * 48/49 * 63/64
a) tính: 4/3 x 9/8 x 16/15 x 25/24 = ...
b) từ kết quả phần a) hãy suy ra giá trị của của biểu thức:
4/3 x 9/8 x 16/15 x 25/24 x 36/35 x 49/48 x 64/63 x 81/80 = ...
các cậu giải chi tiết nhé!!!!!!!!!!!!!!!!!!!!!!
a,\(\frac{4}{3}\)x \(\frac{9}{8}\)x \(\frac{16}{15}\)x \(\frac{25}{24}\)
= \(\frac{5}{3}\)
b, \(\frac{4}{3}\)x \(\frac{9}{8}\)x \(\frac{16}{15}\)x \(\frac{25}{24}\)x \(\frac{36}{35}\)x \(\frac{49}{48}\)x \(\frac{64}{63}\)x \(\frac{81}{80}\)
= \(\frac{9}{5}\)
chi tiết hơn đc k bn
chi tiết hơn đi bạn
Tính: \(A=\dfrac{3}{4}.\dfrac{8}{9}.\dfrac{15}{16}.\dfrac{24}{25}.\dfrac{35}{36}.\dfrac{48}{49}.\dfrac{63}{64}\)
Tinh:
3/4 . 8/9 . 15/16 . 24/25 . 36/36 . 48/49 . 63/64
=(3.8.15.24.36.48.63)/(4.9.16.25.36.49.64)=81/140