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misa
Đặt tên biểu thức là A ta có :
\(A=\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+....+\frac{1}{90}+\frac{1}{110}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{10}-\frac{1}{11}\)
\(=\left(\frac{1}{2}-\frac{1}{11}\right)+\left(\frac{1}{3}-\frac{1}{3}\right)+.....+\left(\frac{1}{10}-\frac{1}{10}\right)\)
\(=\left(\frac{1}{2}-\frac{1}{11}\right)+0+......+0\)
\(=\frac{11}{22}-\frac{2}{22}=\frac{9}{22}\)
\(\frac{1}{2x3}+\frac{1}{3x4}+\frac{1}{4x5}+...+\frac{1}{10.11}\)
=\(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{10}-\frac{1}{11}\)
=\(\frac{1}{2}-\frac{1}{11}\)
=\(\frac{9}{22}\)
\(Q=\frac{5}{30}+\frac{5}{30}+\frac{5}{30}+\frac{5}{30}+\frac{5}{30}\)
\(=\frac{5}{30}.5\)
\(=\frac{5}{6}\)
90 phút x 5 + 3/2 giờ x 2 + 3 x 1 giờ 30 phút
= 1 giờ 30 phút x 5 + 1 giờ 30 phút x 2 + 3 x 1 giờ 30 phút
= 1 giờ 30 phút x (5 + 3 + 2)
= 1 giờ 30 phút x 10
= 15 giờ
Chúc bạn học tốt.
😁😁😁
Sai đầu bài nhé, số cuối cùng phải là 110. Giải :
\(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+...+\frac{1}{90}+\frac{1}{110}\)
= \(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{9.10}+\frac{1}{10.11}\)
=\(\left(\frac{1}{2}-\frac{1}{3}\right)+\left(\frac{1}{3}-\frac{1}{4}\right)+...+\left(\frac{1}{10}-\frac{1}{11}\right)\)
=\(\left(\frac{1}{2}-\frac{1}{11}\right)+0+...+0\)
=\(\frac{9}{22}\)
Mình sửa đề 1 chút nha
\(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+........+\frac{1}{90}+\frac{1}{110}\)
\(=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+.....+\frac{1}{9.10}+\frac{1}{10.11}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+.....+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}\)
\(=\frac{1}{2}-\frac{1}{11}\)
\(=\frac{9}{22}\)
\(\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+....+\frac{1}{90}+\frac{1}{110}\)
\(=\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+.....+\frac{1}{9.10}+\frac{1}{10.11}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+.......+\frac{1}{9}-\frac{1}{10}+\frac{1}{10}-\frac{1}{11}\)
\(=\frac{1}{2}-\frac{1}{11}\)
\(=\frac{9}{22}\)
\(=\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+....+\frac{1}{10\cdot11}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{10}\cdot-\frac{1}{11}\)
\(=\frac{1}{2}-\frac{1}{11}\)
\(=\frac{9}{22}\)
10 x 5 + 5 x 10
c1 : 10 x (5 + 5)
= 10 x 10
= 100
c2 : (10 + 10) x 5
= 20 x 5
= 100
50 + 10 + 90 + 50 + 30 + 60 + 10 + 70 + 50 + 50
c1 : (50 + 50) + (10 + 90) + (30 + 60 + 10) + (50 + 50) + 70
= 100 + 100 + 100 + 100 + 70
= 100 x 4 + 70
= 400 + 70
= 470
c2: 50 x 4 + (10 + 90) + (70 + 30) + (60 + 10)
= 200 + 100 + 100 + 70
= 200 + 100 x 2 + 70
= 200 + 200 + 70
= 200 x 2 + 70
= 400 + 70 = 470
`1/10+2/20+3/30+4/40+5/50+6/60+7/70+8/80+9/90`
`=1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/10+1/10`
`=1/10xx9`
`=9/10`
= ( 45 x 46 + 46 x 48 + 48 ) x ( 48 x 52 + 3 x 52 - 47 x 48) x ( 45 x 126 + 45 x 2 - 90)
= ( 45 x46 + 46 x 45 + 46 x 3 + 48) x ( 48 x 47 + 48 x 5 + 3 x 52 - 47 x 48) x ( 45 x 42 x 2 + 90 - 90)
= ( 90 x 46 + 46 x 3 + 48) x ( 48 x 5 + 52 x 3 ) x ( 90 x 42)
= ( 90 x 46 + 186) x 396 x 3780
= 4326 x 396 x 3780
= 6475502880