LN
2
K
Khách
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LN
1
29 tháng 6 2023
`@` `\text {Ans}`
`\downarrow`
\(\left[\dfrac{14}{9}\div\dfrac{2}{121}\right]\times\dfrac{3}{77}\)
`=`\(\dfrac{847}{9}\times\dfrac{3}{77}\)
`=`\(\dfrac{11}{3}\times\dfrac{1}{1}\)
`=`\(\dfrac{11}{3}\)
21 tháng 6 2021
a) \(A=\dfrac{3}{4}.\dfrac{8}{9}.\dfrac{15}{16}.\dfrac{24}{25}.....\dfrac{120}{121}.\dfrac{143}{144}\)
= \(\dfrac{1.3.2.4.3.5.4.6....10.12.11.13}{2^2.3^2.4^2.5^2...11^2.12^2}\)
= \(\dfrac{1.2.12.13}{2^2.12^2}=\dfrac{13}{2.12}=\dfrac{13}{24}\)
b) \(B=\dfrac{5}{9}.\dfrac{21}{25}.\dfrac{45}{49}.\dfrac{77}{81}....\dfrac{357}{361}.\dfrac{437}{441}\)
= \(\dfrac{1.5.3.7.5.9.7.11.....17.21.19.23}{3^2.5^2.7^2....19^2.21^2}=\dfrac{1.3.21.23}{3^2.21^2}\)
= \(\dfrac{23}{3.21}=\dfrac{23}{63}\)
NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
19 tháng 8 2023
Bài 2:
a, \(\dfrac{5}{23}\) \(\times\) \(\dfrac{17}{26}\) + \(\dfrac{5}{23}\) \(\times\) \(\dfrac{9}{26}\)
= \(\dfrac{5}{23}\) \(\times\) ( \(\dfrac{17}{26}\) + \(\dfrac{9}{26}\))
= \(\dfrac{5}{23}\) \(\times\) \(\dfrac{26}{26}\)
= \(\dfrac{5}{23}\)
b, \(\dfrac{3}{4}\) \(\times\) \(\dfrac{7}{9}\) + \(\dfrac{7}{4}\) \(\times\) \(\dfrac{3}{9}\)
= \(\dfrac{7}{12}\) + \(\dfrac{7}{12}\)
= \(\dfrac{14}{12}\)
= \(\dfrac{7}{6}\)
24 tháng 7 2023
`@` `\text {Ans}`
`\downarrow`
\(\dfrac{5}{9}\times121\times\dfrac{3}{55}\)
`=`\(\dfrac{605}{9}\times\dfrac{3}{55}=\dfrac{11}{3}\)
NK
3
NK
Nguyễn Kim Tiến
VIP
24 tháng 7 2023
=2x2/1x3 x 3x3/2x4x4/3x5 x ... x 11x11/10x12
=2x2x3x3x4x4x...x11x11/1x3x2x4x3x5x...x10x12
= 2x3x4x...x11)x(2x3x4x...x11)/(1x2x3x4x...x11)/(1x2x3x...x10)x(2x3x4x...x11)
=11x2/1x12
=22/12
=11/6
24 tháng 7 2023
4/3x9/8x16/15x...x121/120=\(\dfrac{2^2}{1\cdot3}\)x\(\dfrac{3^2}{2\cdot4}\)x\(\dfrac{4^2}{3\cdot5}\)x...x\(\dfrac{11^2}{10\cdot12}\)=\(\dfrac{2}{3}\)x\(\dfrac{11}{10}\)=\(\dfrac{11}{15}\)
LN
0
`@` `\text {Ans}`
`\downarrow`
\(\left(\dfrac{14}{9}\div\dfrac{2}{121}\right)\times\dfrac{3}{77}\)
`=`\(\left(\dfrac{14}{9}\times\dfrac{121}{2}\right)\times\dfrac{3}{77}\)
`=`\(\left(\dfrac{7}{9}\times121\right)\times\dfrac{3}{77}\)
`=`\(\dfrac{847}{9}\times\dfrac{3}{77}=\dfrac{11}{3}\times1=\dfrac{11}{3}\)
(14/9:2/121) x 3/77
= ( 7/9 x 121/) x 3/77
= 847/9 x 3/77
=11/3 x 1=11/3