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NT
Nguyễn Thị Thương Hoài
Giáo viên
VIP
6 tháng 11 2024
- \(\dfrac{11}{24}\) : \(\dfrac{17}{23}\) - \(\dfrac{11}{24}\) : \(\dfrac{17}{11}\) - \(\dfrac{1}{12}\)
= - \(\dfrac{11}{24}\) x \(\dfrac{23}{17}\) - \(\dfrac{11}{24}\) x \(\)\(\dfrac{11}{17}\) - \(\dfrac{1}{12}\)
= - \(\dfrac{11}{24}\) x (\(\dfrac{23}{17}\) + \(\dfrac{11}{17}\)) - \(\dfrac{1}{12}\)
= - \(\dfrac{11}{24}\) x 2 - \(\dfrac{1}{12}\)
= - \(\dfrac{11}{12}\) - \(\dfrac{1}{12}\)
=- \(\dfrac{12}{12}\)
= - 1
5 tháng 9 2019
A = 5/7.(1+9/13) − 5/7.9/13
A= 5/7.(1+9/13 - 9/13)
A = 5/7.1
A = 5/7
B = 11/24 − 5/41 + 13/24 + 0.5 − 36/41
B = (11/24 + 13/24) - (5/41 + 36/41) + 0.5
B = 1 - 1 + 0.5
B = 0.5
C = −4/13.5/17 + (−12/13).4/17 + 4/13
C = 4/13.(-5/17) + (−12/13).4/17 + 4/13
C = 4/13.(-5/17 + 1) + (−12/13).4/17
C = 4/13.(−12/17) + (−12/13).4/17
C = (4.-12)/(13.17) + (−12/13).4/17
C = 4/17.(−12/13) + (−12/13).4/17
C = 4/17.(−12/13).2
C = 96/221
D = (4/3 − 3/2)2 − 2.∣−1/9∣ + (−5/18)
D = (4/3 − 3/2)2 − 2.1/9+ (−5/18)
D = -1/62 - 2/9+ (−5/18)
D = -1/12 - ( 2/9+ (−5/18) )
D = -1/12 - ( 4/18+ (−5/18) )
D = -1/12 - (-1/18)
D = -1/12 + 1/18
D = -3/36 + 2/36
D = -1/36
E = (−3/4 + 2/3):5/11 + (−1/4 + 1/3):5/11
E = (−3/4 + 2/3 + (−1/4) + 1/3):5/11
E = ((−3/4 + (−1/4)) + (2/3 + + 1/3)):5/11
E = ( - 1 + 1):5/11
E = 0:5/11
E = 0
N
1
KN
16 tháng 6 2019
\(\left|\frac{2}{3}-\frac{1}{2}+\frac{3}{4}x\right|+\left|1.5-\frac{11}{17}+\frac{23}{13}y\right|=0\)
Mà \(\left|\frac{2}{3}-\frac{1}{2}+\frac{3}{4}x\right|\ge0\) và \(\left|1.5-\frac{11}{17}+\frac{23}{13}y\right|\ge0\)
\(\Rightarrow\left|\frac{2}{3}-\frac{1}{2}+\frac{3}{4}x\right|+\left|1.5-\frac{11}{17}+\frac{23}{13}y\right|\ge0\)
Dấu "="\(\Leftrightarrow\)\(\left|\frac{2}{3}-\frac{1}{2}+\frac{3}{4}x\right|=0\) hoặc \(\left|1.5-\frac{11}{17}+\frac{23}{13}y\right|=0\)
Đến đây dễ r
TG
27 tháng 6 2020
a) \(-\frac{9}{13}.\frac{12}{29}-\frac{9}{13}.\frac{17}{29}+\frac{24}{13}\)
\(=-\frac{9}{13}\left(\frac{12}{29}+\frac{17}{29}\right)+\frac{24}{13}\)
\(=-\frac{9}{13}+\frac{24}{13}=\frac{15}{13}\)
b)\(\left(\frac{5}{3}-\frac{2}{11}\right):\frac{49}{33}+\left(-\frac{3}{7}\right)^2-\left|\frac{1}{7}-\frac{1}{14}\right|\)
\(=\left(\frac{5}{3}-\frac{2}{11}\right).\frac{33}{49}+\frac{9}{49}-\left|\frac{2}{14}-\frac{1}{14}\right|\)
\(=\frac{49}{33}.\frac{33}{49}+\frac{9}{49}-\frac{1}{14}\)
\(=1+\frac{9}{49}-\frac{1}{14}=\frac{49}{49}+\frac{9}{49}-\frac{1}{14}\)
\(=\frac{58}{49}-\frac{1}{14}=\frac{109}{98}\)
VM
17 tháng 1 2020
b) \(\frac{\frac{2}{3}+\frac{5}{7}+\frac{4}{21}}{\frac{5}{6}+\frac{11}{7}-\frac{7}{21}}\)
\(=\frac{\frac{29}{21}+\frac{4}{21}}{\frac{101}{42}-\frac{7}{21}}\)
\(=\frac{\frac{11}{7}}{\frac{29}{14}}\)
\(=\frac{22}{29}.\)
Chúc bạn học tốt!
T
22 tháng 8 2023
\(1)\)\(-\dfrac{10}{11}.\dfrac{8}{9}+\dfrac{7}{18}.\dfrac{10}{11}\)
\(=\dfrac{10}{11}\left(-\dfrac{8}{9}+\dfrac{7}{18}\right)\)
\(=\dfrac{10}{11}\left(\dfrac{-16}{18}+\dfrac{7}{18}\right)\)
\(=\dfrac{10}{11}.\left(-\dfrac{1}{2}\right)=-\dfrac{5}{11}\)
\(2)\)\(\dfrac{12}{25}.\dfrac{23}{7}-\dfrac{12}{7}.\dfrac{13}{25}\)
\(=\dfrac{12}{7}.\dfrac{23}{25}-\dfrac{12}{7}.\dfrac{13}{25}\)
\(=\dfrac{12}{7}.\left(\dfrac{23}{25}-\dfrac{13}{25}\right)\)
\(=\dfrac{12}{7}.\dfrac{2}{5}=\dfrac{24}{35}\)
\(3)\)\(\dfrac{3}{7}.\dfrac{16}{15}-\dfrac{2}{15}.\dfrac{-3}{7}\)
\(=\dfrac{3}{7}.\dfrac{16}{15}-\dfrac{3}{7}.\dfrac{-2}{15}\)
\(=\dfrac{3}{7}.\left(\dfrac{16}{15}+\dfrac{2}{15}\right)\)
\(=\dfrac{3}{7}.\dfrac{18}{15}=\dfrac{18}{35}\)
\(4)\)\(-\dfrac{4}{13}.\dfrac{5}{17}+\dfrac{-12}{13}.\dfrac{4}{17}\)
\(=-\dfrac{4}{13}.\dfrac{5}{17}+\dfrac{-4}{13}.\dfrac{12}{17}\)
\(=-\dfrac{4}{13}.\left(\dfrac{5}{17}+\dfrac{12}{17}\right)\)
\(=-\dfrac{4}{13}.\dfrac{17}{17}=-\dfrac{4}{13}\)
22 tháng 8 2023
`#040911`
`1)`
`-10/11 * 8/9 + 7/18 . 10/11`
`= 10/11 * (-8/9 + 7/18)`
`= 10/11 * (-1/2)`
`= -5/11`
`2)`
`12/25 * 23/7 - 12/7 *13/25`
`= 12/7 * 23/25 - 12/7 * 13/25`
`= 12/7 * (23/25 - 13/25)`
`= 12/7 * 2/5`
`= 24/35`
`3)`
`3/7 * 16/15 - 2/15 * (-3)/7`
`= 3/7 * (16/15 + 2/15)`
`= 3/7 * 6/5`
`= 18/35`
`4)`
`-4/13 * 5/17 + (-12)/13 * 4/17`
`= -4/17 * 5/13 + (-12)/13 * 4/17`
`= 4/17 * (-5/13 - 12/13)`
`= 4/17 * (-17)/13`
`= -4/13`
- \(\dfrac{11}{24}\) : \(\dfrac{17}{23}\) - \(\dfrac{11}{24}\) : \(\dfrac{17}{11}\) - \(\dfrac{1}{2}\)
= - \(\dfrac{11}{24}\) x \(\dfrac{23}{17}\) - \(\dfrac{11}{24}\) x \(\dfrac{11}{17}\) - \(\dfrac{1}{2}\)
= - \(\dfrac{11}{24}\) x (\(\dfrac{23}{17}\) + \(\dfrac{11}{17}\)) - \(\dfrac{1}{2}\)
= - \(\dfrac{11}{24}\) x 2 - \(\dfrac{1}{2}\)
= - \(\dfrac{11}{12}\) - \(\dfrac{1}{2}\)
= - \(\dfrac{11}{12}\) - \(\dfrac{6}{12}\)
= - \(\dfrac{17}{12}\)