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a) 5/17 * 8/-7+8/17*-7/3+-7/3*4/17
-40/119 + 12/17 × -7/3
-40/119 + -28/17 =-236/119
b) -10/13 + 5/17 - 3/13 + 12/17 - 11/20
(5/17+12/17)-(10/13+3/13)-11/20
-11/20
a) 5/17 * 8/-7+8/17*-7/3+-7/3*4/17
-40/119 + 12/17 × -7/3
-40/119 + -28/17 =-236/119
b) -10/13 + 5/17 - 3/13 + 12/17 - 11/20
(5/17+12/17)-(10/13+3/13)-11/20
-11/20
(7/111 - 4/33 + 9/37).(1/2 - 1/3 -1/6)
= (7/111 - 4/33 + 9/37).0
= 0
(7/111 - 4/33 + 9/37).(1/2 - 1/3 - 1/6)
= (7/111 - 4/33 + 9/37).0
= 0
a ) 13/20
B)
C..........................................................
minh dang tính
\(a,\dfrac{-1}{7}+\dfrac{8}{13}+\dfrac{-6}{7}-1\dfrac{23}{24}-\dfrac{-5}{13}\\ =\dfrac{-1}{7}+\dfrac{8}{13}+\dfrac{-6}{7}-\dfrac{47}{24}+\dfrac{5}{13}\\ =\left(\dfrac{-1}{7}+\dfrac{-6}{7}\right)+\left(\dfrac{8}{13}+\dfrac{5}{13}\right)-\dfrac{47}{24}\\ =-1+1-\dfrac{47}{24}\\ =0-\dfrac{47}{24}\\ =\dfrac{-47}{24}\)
\(b,\left(7\dfrac{4}{9}+4\dfrac{7}{11}\right)-3\dfrac{4}{9}\\ =7\dfrac{4}{9}+4\dfrac{7}{11}-3\dfrac{4}{9}\\ =\left(7\dfrac{4}{9}-3\dfrac{4}{9}\right)+4\dfrac{7}{11}\\ =4+4\dfrac{7}{11}\\ =\dfrac{44}{11}+\dfrac{51}{11}\\ =\dfrac{95}{11}\)
\(1-3+5-7+9-11+...+2017-2019+2021\)
\(=\left(1-3\right)+\left(5-7\right)+\left(9-11\right)+...+\left(2017-2019\right)+2021\)
\(=\left(-2\right)+\left(-2\right)+\left(-2\right)+...+\left(-2\right)+2021\)
Số lượng phần tử:
\(\left(2019-1\right):2+1=1010\) (phần tử)
Số lượng cặp:
\(1010:2=505\) (cặp)
Vậy có 505 số -2
\(=\left(-2\right)\cdot505+2021\)
\(=1011\)
`1 - 3 + 5 - 7 + 9 - 11 + ... - 2019 + 2021`.
`= -2 -2 - ... -2 + 2021`.
Dãy trên có số số hạng: `(2021-1):2+1 = 1011` số.
`= -2 xx 505 + 2021 = -1010 + 2021 =1011`.
\(5^{11}và7^7=\left(5.7\right)^4và\left(7.5\right)^2=35^4>35^2\)
\(\dfrac{7}{1}:\dfrac{4}{1}=\dfrac{7}{1}.\dfrac{1}{4}=\dfrac{7}{4}\)
\(\dfrac{11}{7}:\dfrac{37}{9}=\dfrac{11}{7}.\dfrac{9}{37}=\dfrac{99}{259}\)
7/1 x 1/4 = 7/4
11/7 x 9/37 = 99/259