11/3+11/5 nhan Y-4/5=24/5
tìm y thỏa mãn : 11/3 + 11/5 x y - 4/5 =24/5
11/3+11/5.y-4/5=24/5
88/15.y=24/5-4/5
88/15.y=20/5
88/15.y=4
y=4:88/15
y=15/22
11/3 + 11/5 x y - 4/5 = 24/5
11/3 + 11/5 x y = 24/5 + 4/5
11/3 + 11/5 x y = 28/5
11/5 x y = 28/5 - 11/3
11/5 x y = 29/15
y = 29/15 : 11/5
y = 29/33
Tính nhanh : a) 2/1 nhan3 +2/3 nhan 5+2/5nhan7+2/7nhan9 ; b)3/4 nhan7+ 3/6 nhan 10 + 3/10 nhan13+3/13 nhan 16 +3/16 nhan 19 ; c) 5/1 nhan6 +5/6 nhan 11+5/11 nhan 16 +5/16 nhan 21+5/21 nhan 26 +5/26 nhan 31
Bạn dùng công thức này mà làm nhé :\(\frac{n}{a\times\left(a+n\right)}=\frac{1}{a}-\frac{1}{a+n}\)
Ví dụ :\(\frac{2}{3\times5}=\frac{1}{3}-\frac{1}{5};\frac{3}{4\times7}=\frac{1}{4}-\frac{1}{7};\frac{5}{6\times11}=\frac{1}{6}-\frac{1}{11}\)
( 11 nhan 5 - 10 nhan 5 - 5 ) nhan ( 1 + 2 + 3 + 4 ......................+99 )
=(11.5-10.5-5) x ( 1+2+3+........................+99)
=(55-50-5)x(1+2+3+...............+99)
=0x(1+2+3+................+99)
=0x( số số hạng là : (99-1):1+1=99)
=0x(tổng các số là: (99+1)x99:2=4950)
=0x4950
=0
bài 1:tinh
á 3\4 công 2\5 nhân 5\6
b 11\12 :7\24 nhan 21\22
A,3/4+2/5x5/6
=3/4+1/3
=9/12+4/12
=13/12
B,11/12:7/24x21/22
=11/12x24/7x21/22
=22/7x21/22
=3
a,3/4+2/5x5/6
=13/12
b,11/12::7/24x21/22
=3
a) \(\frac{3}{4}+\frac{2}{5}\cdot\frac{5}{6}\)
\(=\frac{3}{4}+\frac{1}{3}\)
\(=\frac{9}{12}+\frac{4}{12}=\frac{13}{12}\)
tinh nhanh 11/23 nhan 5-4 nhan 11/23 nhan 11/23
`11/23 xx 5-4 xx 11/23 xx 11/23`
`= 11/23 xx (5-4) xx 11/23`
`= 11/23 xx 1 xx 11/23`
`= 11/23 xx 11/23`
`=121/529`
k) (-1/2)2:1/4-2.(-1/2)2
m) (-2)3.-1/24+(4/3-1 5/6):5/12
n) (6 4/9 + 7/11) - (4 4/9 - 2 4/11)
p) 10 1/5 - 5 1/2. 60/11+3:15%
q) 5/7.5/11+5/7.2/11-5/7.14/11
r) -5/7.2/11+-5/7.9/11+1 5/7
GIÚP MÌNH VỚI Ạ. CẢM ƠN MỌI NGƯỜI!
\(\left(-\dfrac{1}{2}\right)^2\div\dfrac{1}{4}-2\times\left(-\dfrac{1}{2}\right)^2\\= \dfrac{1}{4}\div\dfrac{1}{4}-2\times\dfrac{1}{4}\\ =1-\dfrac{1}{2}\\ =\dfrac{1}{2}\)
\(\left(-2\right)^3\times-\dfrac{1}{24}+\left(\dfrac{4}{3}-1\dfrac{5}{6}\right)\div\dfrac{5}{12}\)
= \(-6\times-\dfrac{1}{24}+\left(\dfrac{4}{3}-\dfrac{11}{6}\right)\div\dfrac{5}{12}\)
= \(\dfrac{1}{4}+-\dfrac{1}{2}\div\dfrac{5}{12}\)
= \(\dfrac{1}{4}+-\dfrac{6}{5}\)
= \(\dfrac{1}{4}-\dfrac{6}{5}\)
= \(-\dfrac{19}{20}\)
\(\left(6\dfrac{4}{9}+\dfrac{7}{11}\right)-\left(4\dfrac{4}{9}-2\dfrac{4}{11}\right)\\ =\dfrac{58}{9}+\dfrac{7}{11}-\dfrac{40}{9}+\dfrac{26}{11}\\ =\dfrac{58}{9}-\dfrac{40}{9}+\dfrac{7}{11}+\dfrac{26}{11}\\ =12+3\\ =15\)
\(a,\left(\dfrac{-1}{2}\right)^2:\dfrac{1}{4}-2\left(-\dfrac{1}{2}\right)^2\)
\(=\left(-\dfrac{1}{2}\right)^2\left(4-2\right)\)
\(=\dfrac{1}{4}.2=\dfrac{1}{2}\)
\(b,\left(-2\right)^3.\dfrac{-1}{24}+\left(\dfrac{4}{3}-1\dfrac{5}{6}\right):\dfrac{5}{12}\)
\(=\left(-8\right).\dfrac{-1}{24}+\left(-\dfrac{1}{2}\right).\dfrac{12}{5}\)
\(=\dfrac{1}{3}+\left(-\dfrac{1}{5}\right)=\dfrac{2}{15}\)
\(c,\left(6\dfrac{4}{9}+\dfrac{7}{11}\right)-\left(4\dfrac{4}{9}-2\dfrac{4}{11}\right)\)
\(=\dfrac{701}{99}-\dfrac{206}{99}=\dfrac{495}{99}=5\)
\(d,10\dfrac{1}{5}-5\dfrac{1}{2}.\dfrac{60}{11}+\dfrac{3}{15\%}\)
\(=\dfrac{51}{5}-30+20=\dfrac{1}{5}\)
\(e,\dfrac{5}{7}.\dfrac{5}{11}+\dfrac{5}{7}.\dfrac{2}{11}-\dfrac{5}{7}.\dfrac{14}{11}\)
\(=\dfrac{5}{7}\left(\dfrac{5}{11}+\dfrac{2}{11}-\dfrac{14}{11}\right)=\dfrac{5}{7}.\left(-\dfrac{7}{11}\right)\)
\(=-\dfrac{5}{11}\)
\(f,\dfrac{-5}{7}.\dfrac{2}{11}+\left(-\dfrac{5}{7}\right).\dfrac{9}{11}+1\dfrac{5}{7}\)
\(=\left(-\dfrac{5}{7}\right)\left(\dfrac{2}{11}+\dfrac{9}{11}\right)+\dfrac{12}{7}\)
\(=\left(-\dfrac{5}{7}\right)+\dfrac{12}{7}=1\)
\(10\dfrac{1}{5}-5\dfrac{1}{2}\times\dfrac{60}{11}+3\div15\%\\ =\dfrac{51}{5}-\dfrac{11}{2}\times\dfrac{60}{11}+3\div\dfrac{15}{100}\\ =\dfrac{51}{5}-30+20\\ =10,2-30+20\\ =0,2\)
\(\dfrac{5}{7}\times\dfrac{5}{11}+\dfrac{5}{7}\times\dfrac{2}{11}-\dfrac{5}{7}\times\dfrac{14}{11}\\ =\dfrac{5}{7}\times\left(\dfrac{5}{11}+\dfrac{2}{11}-\dfrac{14}{11}\right)\\ =\dfrac{5}{7}\times-\dfrac{7}{11}=-\dfrac{5}{11}\)
\(-\dfrac{5}{7}\times\dfrac{2}{11}+-\dfrac{5}{7}\times\dfrac{9}{11}+1\dfrac{5}{7}\\ =-\dfrac{5}{7}\times\dfrac{2}{11}+-\dfrac{5}{7}\times\dfrac{9}{11}+\dfrac{12}{7}\\ =-\dfrac{5}{7}\times\left(\dfrac{2}{11}+\dfrac{9}{11}\right)+\dfrac{12}{7}\\ =-\dfrac{5}{7}\times1+\dfrac{12}{7}\\ =1\)
tinh nhanh 272 :0,5 - 4% nhan 2400 +11/5 nhân 3/22 - 0,4 nhan 70 -3/10
2/3-6/12+1/4
4/12-18/24+5/2
-5/7*11/9+5/7*4/9
-3/8*13/11-3/8*3/11
2/3-6/12+1/4 = 5/12
4/12-18/24+5/2 = 25/12
-5/7*11/9+5/7*4/9 = -5/9
-3/8*13/11-3/8*3/11 = -6/11
( 5/8 + 1/4 ) x 2/3 =
5/7 x 1/3 + 4/3 =
9/11 + 1/12 : 11/24 =