18 x ( \(\frac{1919}{2121}\) + \(\frac{888}{999}\))
Tính nhanh: 18 x ( \(\frac{1919}{2121}+\frac{888}{999}\))
18 x \(\left(\frac{1919}{2121}+\frac{888}{999}\right)\)
= 18 x \(\frac{113}{63}\)
= \(\frac{226}{7}\)
\(18\cdot\left(\frac{1919}{2121}+\frac{888}{999}\right)\)
Rút gọn:
\(\frac{1919}{2121}=\frac{1919:101}{2121:101}=\frac{19}{21}\)
\(\frac{888}{999}=\frac{888:111}{999:111}=\frac{8}{9}\)
Ta có:
\(18\cdot\left(\frac{19}{21}+\frac{8}{9}\right)\)
=\(18\cdot\left(\frac{57}{63}+\frac{56}{63}\right)\)
\(=18\cdot\frac{113}{63}\)
\(\frac{18.113}{63}=\frac{9\cdot2\cdot113}{9\cdot7}=\frac{2\cdot113}{7}=\frac{226}{7}\)
Kết quả là \(\frac{226}{7}\)
Đúng thì tk nha!!!
Giúp me với mai nộp r nhank và đúng tick
Bài 1: Tính nhanh
A) 2016 * 2017 -1 phần 2015 * 2017 +2016
B) 18 * (1919 phần 2121+ 888 phần 999)
C) 1/2+1/4+1/8+1/16+1/32
A,(2016*2017-1)/2015*2017+2016
=2015*2017+2016/2015*2017+2016
=1
B,18*(1919/2121+888/999)
=18*(19/21+8/9)
=18*(19/21)+18*(8/9)=114/7+16=16+2/7+16=32/2/7
c,gọi s=1/2+1/4+...+1/32
2s=1+1/2+...+1/16
2s-s=(1+1/2+...+1/16)-(1/2+1/4+...+1/32)
s=1-1/32=31/32
Mong các bạn giúm mìnk nha \(\frac{1011+1014+\frac{2015}{777}+\frac{2015}{888}-\frac{1011}{999}-\frac{1014}{999}}{201+202+\frac{403}{777}-\frac{403}{888}-\frac{201}{999}-\frac{202}{999}}\)
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}=\frac{9999}{13635}=\frac{11}{15}\)
Bài 1 Rút gọn a
\(\frac{1919}{2121}\)
b \(\frac{191191}{212212}\)
1919/2121 = 19/21
191191/212212=191/212
a ) \(\frac{1919}{2121}=\frac{19.101}{21.101}=\frac{19}{21}\)
b) \(\frac{191191}{212212}=\frac{191.1001}{212.1001}=\frac{191}{212}\)
\(a=\frac{1919}{2121}=\frac{1919:1919}{2121:2121}=1,b=\frac{191191}{212212}=\frac{191191:191191}{212212:212212}=1\)
so sánh :
\(\frac{111111}{666665}\)và\(\frac{1212+1313+1414+1515+1616}{1717+1818+1919+2020+2121}\)
Ai làm đúng và nhanh nhất mk k cho
cái thứ hai lớn hơn
Ta có : \(\frac{1212+1313+1414+1515+1616}{1717+1818+1919+2020+2121}=\frac{12+13+14+15+16}{17+18+19+20+21}=\frac{28\cdot\frac{5}{2}}{38\cdot\frac{5}{2}}=\frac{14}{19}\)
Dễ thấy \(\frac{111111}{666665}< \frac{1}{2}\) ( do 111111 < 666665/2 ) và \(\frac{14}{19}>\frac{1}{2}\) ( do 14 > 19/2 )
Vậy \(\frac{111111}{666665}< \frac{1212+1313+1414+1515+1616}{1717+1818+1919+2020+2121}\)
tính nhanh
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)
\(=\frac{101\times\left(14+15+16+17+18+19\right)}{101\times\left(20+21+22+23+24+25\right)}\)
\(=\frac{14+15+16+17+18+19}{20+21+22+23+24+25}\)
+) Tử số :
Số các số hạng là : ( 19 - 14 ) : 1 + 1 = 6 ( số )
Tổng là : ( 19 + 14 ) x 6 : 2 = 99
+) Mẫu số :
Số các số hạng là : ( 25 - 20 ) : 1 + 1 = 6 ( số )
Tổng là : ( 25 + 20 ) x 6 : 2 = 135
\(\Leftrightarrow\frac{99}{135}=\frac{11}{15}\)
Thực hiện phép tính:
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)
\(=\frac{101\left(14+15+16+17+18+19\right)}{101\left(20+21+22+23+24+25\right)}\)
\(=\frac{\left(19+14\right)\left(19-14+1\right):2}{\left(25+20\right)\left(25-20+1\right):2}\)
=\(\frac{33.6:2}{45.6:2}=\frac{33}{45}=\frac{11}{15}\)
tính nhanh
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)
\(\frac{1414+1515+1616+1717+1818+1919}{2020+2121+2222+2323+2424+2525}\)
= \(\frac{\left(1414+1919\right)+\left(1515+1818\right)+\left(1616+1717\right)}{\left(2020+2525\right)+\left(2121+2424\right)+\left(2222+2323\right)}\)
= \(\frac{3333+3333+3333}{4545+4545+4545}=\frac{3333}{4545}=\frac{11}{15}\)
t i c k nhé!! 45435436457