tính: 27/28 x 35/36 x 44/45 x...x 4949/4950
Tính : S = (1-1/28) x (1-1/36) x (1-1/45) x ..... x (1-1/4950)
27/28 = 3x9 / (4x7) = 3/4 x 9/7 27/28 x 35/36 = (3x9) / (4x7) x (5x7) / (4x9) = 3/4 x 5/4 27/28 x 35/36 x 44/45 = 3x5/(4x4) x 4x11/5x9 = 3/4 x 11/9 ...... xxxxxx .... x (49x101)/(50x99) = 3/4 x 101/99
Tính : S = (1-1/28) x (1-1/36) x (1-1/45) x ..... x (1-1/4950)
27/28 = 3x9 / (4x7) = 3/4 x 9/7
27/28 x 35/36 = (3x9) / (4x7) x (5x7) / (4x9) = 3/4 x 5/4
27/28 x 35/36 x 44/45 = 3x5/(4x4) x 4x11/5x9 = 3/4 x 11/9
......
xxxxxx .... x (49x101)/(50x99) = 3/4 x 101/99
Câu 15: Tìm x thuộc bội của 9 và x < 63
A. x ∈ {0; 9; 18; 27; 36; 45; 54} B. x ∈ {0; 9; 18; 28; 35}
C. x ∈ {9; 18; 27; 36; 45; 54; 63} D. x ∈ {9; 18; 27; 36; 45; 55; 63}
Tính nhanh
B= 1+2/3+5/6+9/10+20/21+27/28+35/36+44/45
1+2/3+5/6+9/10+20/21+27/28+35/36+44/45
1 + 2/3 + 5/6 + 9/10 + 20/21 + 27/28 + 35/36 + 44/45
Dấu chấm là dấu nhân
\(1+\frac{2}{3}+\frac{5}{6}+\frac{9}{10}+...+\frac{44}{45}\)
\(=1+1-\frac{1}{3}+1-\frac{1}{6}+1-\frac{1}{10}+...+1-\frac{1}{45}\)
\(=8-2\cdot\left(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{9\cdot10}\right)\)
\(=8-2\cdot\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{9}-\frac{1}{10}\right)\)
\(=8-2\cdot\left(\frac{1}{2}-\frac{1}{10}\right)\)
\(=8-2\cdot\frac{2}{5}\)
\(=8-\frac{4}{5}\)
\(=\frac{36}{5}\)
Đặt \(A=1+\frac{2}{3}+\frac{5}{6}+\frac{9}{10}+\frac{20}{21}+\frac{27}{28}+\frac{35}{36}+\frac{44}{45}\)
\(=1+1-\frac{1}{3}+1-\frac{1}{6}+1-\frac{1}{10}+1-\frac{1}{21}+1-\frac{1}{28}+1-\frac{1}{36}+1-\frac{1}{45}\)
\(=8-\left(\frac{1}{3}+\frac{1}{6}+\frac{1}{10}+\frac{1}{21}+\frac{1}{28}+\frac{1}{36}+\frac{1}{45}\right)\)
\(\Leftrightarrow\frac{1}{2}.A=4-\left(\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\right)\)
\(=4-\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}+\frac{1}{9}-\frac{1}{10}\right)\)
\(=4-\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{6}-\frac{1}{10}\right)\)
\(=4-\frac{11}{30}=\frac{109}{30}\)
\(\Rightarrow A=\frac{109}{15}\)
rút gọn
a) 19 x 28 - 19 x 3 / 5 x 3 + 5 x 35
b) 7 x 9 + 14 x 29 + 21 x 36 / 21 x 27 + 42 x 81 + 63 x 108
c) 11 x 13 - 22 x 26 / 22 x 26 - 44 x54
giúp tui với nha
a)19 x (28 - 3) / 5x (3+35 )
= 19 x 25 /5 x 38
= 475/190
= 5/2
còn mấy ý kia chung j đặt đấy nhé mik hơi lười
Tính nhanh:
35 x 12 - 15 x 28 + \(\frac{2323}{4949}\) -\(\frac{23}{49}\) +2017
35 x 12 - 15 x 28 + \(\frac{23}{49}\)- \(\frac{23}{49}\)+ 2017
= 35 x 12 - 15 x 28 + 0 + 2017
= 35 x 12 - 15 x 28 + 2017
= 420 - 420 + 2017
= 0 + 2017
= 2017
Tính bằng cách thuận tiện nhất:
a. 27 x 45 + 45 x 74 – 45 b. ( 54 x 28 + 12 x 54) : 36
A, 27 X 45 + 45 X 74 - 45 =
27 X 45 + 74 X 45 - 45 X 1=
45X[ 27+74 - 1] =
45 X 100 =
4500
B,[ 54 X 28+12 X 54 ] : 36 =
[ 54 X 28 + 54 X 12] : 36=
[ 54 X [ 28 + 12 ] :36=
[54 X 40 ] : 36=
2160 : 36=
60
MÌNH CÓ SAI CHỖ NÀO BẠN CỐ GẮNG TÌM CÁCH KHÁC NHÉ !