3/7 . -5/11 + 3/7 . -6/11
thu gọn các biểu thức sau
a)C=3^14+3^15+3^16+3^17+...+3^n
b)D=3^11+3^14+3^17+3^20+...+3^2021
c) E= -5^2-5^4-5^6-5^8-...-5^1000
d)F=-5^21-5^23-5^25-5^27-...-5^2019
e)M=7^2-7^4+7^6-7^8+...-7^1000
d)N=-12+11^2+11^3-11^4-11^5+...+11^498+11^499
b: \(27D=3^{14}+3^{17}+...+3^{2024}\)
\(\Leftrightarrow26D=3^{2024}-3^{11}\)
hay \(D=\dfrac{3^{2024}-3^{11}}{26}\)
c: \(25E=-5^4-5^6-...-5^{1002}\)
\(\Leftrightarrow24E=-5^{1002}+5^2\)
hay \(E=\dfrac{-5^{1002}+5^2}{24}\)
tinh bang hai cach
(6/11+5/11) * 3/7
(6/7-4/7) : 2/5
3/5 * 7/9 - 3/5 *2/9
8/15 : 2/11 + 7/15 :2/11
a ,b
cách 1 : cộng 2 số trong ngặc rồi tính bình thường
cách 2 : nhân phân phối ra rồi tính nhân chia trước cộng trừ sau
c,d
cách 1 : tính bình thường, nhân chia trc cộng trừ sau
cách 2 : đặt nhân tử ( thừa số ) chung
Cách 1 : \((\frac{6}{11}+\frac{5}{11})\cdot\frac{3}{7}=1\cdot\frac{3}{7}=\frac{3}{7}\)
Cách 2 : \(\frac{6}{11}\cdot\frac{3}{7}+\frac{5}{11}\cdot\frac{3}{7}=\frac{18}{77}+\frac{15}{77}=\frac{33}{77}=\frac{3}{7}\)
Cách 1 dễ rồi nha
Cách 2 : \(\frac{6}{7}:\frac{2}{5}-\frac{4}{7}:\frac{2}{5}=\frac{15}{7}-\frac{10}{7}=\frac{5}{7}\)
Cách 1 tự làm
Cách 2 : \(\frac{3}{5}\cdot(\frac{7}{9}-\frac{2}{9})=\frac{3}{5}\cdot\frac{5}{9}=\frac{1}{3}\)
Cách 1 : ...
Cách 2 : \((\frac{8}{15}+\frac{7}{15}):\frac{2}{11}=1:\frac{2}{11}=\frac{2}{11\cdot1}=\frac{2}{11}\)
viết vào chỗ chấm
a.2/7+(3/7+5/7)= b.(6/11+5/11)+4/11= c.(5/6+7/6)+2/6=
`a, 2/7 +(3/7 + 5/7)= 2/7 + 3/7 + 5/7=(2/7 +5/7)+3/7= 1+3/7=7/7+3/7=10/7`
`b, (6/11+5/11)+4/11= 11/11+4/11=15/11`
`c, (5/6 + 7/6)+2/6= 12/6 + 2/6= 14/6= 7/3`
`@ yl`
\(a\) \(\dfrac{2}{7}+\left(\dfrac{3}{7}+\dfrac{5}{7}\right)=\dfrac{2}{7}+\dfrac{8}{7}=\dfrac{10}{7}\)
\(b\) \(\left(\dfrac{6}{11}+\dfrac{5}{11}\right)+\dfrac{4}{11}=\dfrac{11}{11}+\dfrac{4}{11}=\dfrac{15}{11}\)
\(c\) \(\left(\dfrac{5}{6}+\dfrac{7}{6}\right)+\dfrac{2}{6}=\dfrac{12}{6}+\dfrac{2}{6}=\dfrac{14}{6}=\dfrac{7}{3}\)
5/11.(-3/7)+5/11.(-5/7)+(-8/7).6/11
\(=\dfrac{5}{11}\left(-\dfrac{3}{7}-\dfrac{5}{7}\right)+\dfrac{-8}{7}\cdot\dfrac{6}{11}=\dfrac{-8}{7}\left(\dfrac{5}{11}+\dfrac{6}{11}\right)=-\dfrac{8}{7}\)
\(\dfrac{5}{11}.\left(-\dfrac{3}{7}\right)+\dfrac{5}{11}.\left(-\dfrac{5}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left[-\dfrac{3}{7}+\left(-\dfrac{5}{7}\right)\right]+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left(-\dfrac{8}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}=\left(\dfrac{5}{11}+\dfrac{6}{11}\right).\left(-\dfrac{8}{7}\right)\)
\(=1.\left(-\dfrac{8}{7}\right)=-\dfrac{8}{7}\)
\(\dfrac{5}{11}.\left(-\dfrac{3}{7}\right)+\dfrac{5}{11}.\left(-\dfrac{5}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left(-\dfrac{3}{7}-\dfrac{5}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\dfrac{5}{11}.\left(-\dfrac{8}{7}\right)+\left(-\dfrac{8}{7}\right).\dfrac{6}{11}\)
\(=\left(-\dfrac{8}{7}\right).\left(\dfrac{5}{11}+\dfrac{6}{11}\right)\)
\(=\left(-\dfrac{8}{7}\right).1\)
\(=-\dfrac{8}{7}\)
Tính bằng 2 cách.
A, (6/11 +5/11)* 3/7
B, 3/5 * 7/9 + 3/5 * 2/9
C, ( 6/7 - 4/7 ) : 2/5
D, 8/15 : 2/11 + 7/15 : 2/11
A.3/7
B.3/5
C.5/7
D.11/2
k hộ mình nha!
1 Tính
a.11/4×(-0,4)×-1,6×11/4
b.6/19×-7/11+6/19×-4/19×-4/11+13/19
c.2/5×3/7+-3/7×3/5+3/7
d.2/3×5+2×5/7+2/7×9+...+2/97×99
d)\(\frac{2}{3.5}+\frac{2}{5.7}+....+\frac{2}{97.99}\)
\(=\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+....+\frac{1}{97}-\frac{1}{99}\)
\(=\frac{1}{3}-\frac{1}{99}\)
\(=\frac{32}{99}\)
a) 11/4x(-0,4)x-1,6x11/4
= -1,1 x-1,6x11/4
= 1,76x11/4
= 4,48
b) 6/19x-7/11+6/19x-4/19x-4/11+13/19
= -42/209+96/3971+13/19
= -702/3971+13/19
= 2015/3971
c) 2/5x3/7+-3/7x3/5+3/7
= 3/7x(2/5+3/5+1)
= 3/7x(1+1)
= 3/7x2
= 6/7
d) 2/3x5+2x5/7+2/7x9+....+2/97x99
= 1/3-1/5+1/5-1/7+1/7-1/9+......+1/97-1/99
= 1/3-1/99
= 32/99
d)=1/3-1/5+1/5-1/7+....+1/97-1/99
=1/3-1/99
=32/99
3/5+3/7-3/11
_____________
6/5+6/7-6/11
rut 2 ra khoi mau so ,ben trong la 3/5+3/7+3/11
kết quả là 1/2
\(\frac{\frac{3}{5}+\frac{3}{7}-\frac{3}{11}}{\frac{6}{5}+\frac{6}{7}-\frac{6}{11}}=\frac{3.\left(\frac{1}{5}+\frac{1}{7}-\frac{1}{11}\right)}{6.\left(\frac{1}{5}+\frac{1}{7}-\frac{1}{11}\right)}\)\(=\frac{1}{2}\).
tính giá trị biểu thức sau bằng cách hợp lí
(5/4 + 3/4) . 4/7 + (3/4 + 9/4) . 4/7
-3/11 . (-22)/66 . 121/15
3/7 . 2/5 . 7/3 . 20 . 19/72
6/7 . 8/13 + 6/13 . 9/7 - 3/13 . 6/7
-1/4 . 152/11 + 68/4 . (-1)/11
-5/7 . 2/11 + (-5)/7 . 9/11 + 12/7
146/13 - (18/7 + 63/13)
cảm ơn
5/9 × 8/17+ 3/17 : 9/7 - 5/9 7/3 × 6/ 11 + 7 / 11 - 5 /13 + 6/ 13
Tính bằng hai cách
a) ( 6 / 11 + 5 / 11 ) x 3 / 7
b) 3 / 5 x 7 / 9 - 3 / 5 x 2 / 9
c) ( 6 / 7 - 4 / 7 ) : 2 / 5
d) 8 / 15 : 2 / 11 + 7 / 15 : 2 / 11
nhiều thế ren giải được ma bik giải xng rồi có dc chi hông?