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abc + bca = 486
=>100a+10b+c+100b+10c+a=486
=>101a+110b+11c=486
=>101a+11(10b+c)
Mà 101a chia hết cho 101, 11(10b+c) chia hết cho 11
=>101a=101=>a=1, 11(10b+c)=385=>10b+c=35=> bc=35=>b=3,c=5
Mình ko bít có đúng ko nên sai đừng trách mình nhé !
\(A=\frac{7^{2011}+1}{7^{2013}+1}\)
\(7^2.A=\frac{7^{2013}+49}{7^{2013}+1}=\frac{7^{2013}+1+48}{7^{2013}+1}=\)\(\frac{7^{2013}+1}{7^{2013}+1}+\frac{48}{7^{2013}+1}=1\frac{48}{7^{2013}+1}\)
\(B=\frac{7^{2013}+1}{7^{2015}+1}\)
\(7^2.B=\)\(=\frac{7^{2015}+49}{7^{2015}+1}=\)\(\frac{7^{2015}+1+48}{7^{2015}+1}=\)\(\frac{7^{2015}+1}{7^{2015}+1}+\frac{48}{7^{2015}+1}=1\frac{48}{7^{2015}+1}\)
\(Vì\) \(1\frac{48}{7^{2013}+1}>1\frac{48}{7^{2013}+1}\)\(\Rightarrow7^2.A>7^2.B\)\(\Rightarrow A>B\)
\(Vậy\) \(A>B\)
Bài 2 nè
ta xét B trước:
\(B=\frac{1}{1}-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+..\)\(.....+\frac{1}{2015}-\frac{1}{2016}\)
=\(\left(\frac{1}{1}+\frac{1}{3}+....+\frac{1}{2015}\right)-\)\(\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}....+\frac{1}{2016}\right)\)
\(=\)\(\left(\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+....+\frac{1}{2016}\right)-\)\(\left(\frac{1}{1}+\frac{1}{2}+\frac{1}{3}+....+\frac{1}{1008}\right)\)
\(=\frac{1}{1009}+\frac{1}{1010}+....+\frac{1}{2016}\)
vậy A:B\(=\frac{1}{1009}+\frac{1}{1010}+....+\frac{1}{2016}\)\(:\frac{1}{1009}+\frac{1}{1010}+....+\frac{1}{2016}\)
\(=1\)
a) \(\left(4\frac{1}{9}+3\frac{1}{4}\right)\cdot2\frac{1}{4}+2\frac{3}{4}\)
\(=7\frac{13}{36}\cdot2\frac{1}{4}+2\frac{3}{4}\)
\(=16\frac{9}{16}+2\frac{3}{4}\)
\(=19\frac{5}{16}\)
b)\(1+\left(\frac{9}{10}-\frac{4}{5}\right)\div3\frac{1}{6}\)
\(=1+\frac{1}{10}\div\frac{19}{6}\)
\(=1+\frac{3}{95}=1\frac{3}{95}\)
MK LÀM CHO BẠN 2 Ý THÔI NHA.
K MK NHA. CHÚC BN HỌC TỐT. ^_^
c) \(\left(-7+|13|\right)-\left(13-|-7|-25\right)-\left(25-|-10|-9\right)\)
\(=-7+13-13+7+25-25+10+9\)
\(=\left(-7+7\right)+\left(13-13\right)+\left(25-25\right)+10+9\)
\(=0+0+0+10+9=10+9=19\)
MK LÀM XONG RỒI. K MK NHA. KB
a ) \(\frac{5}{7}.\frac{-7}{9}-\frac{5}{7}.\frac{2}{9}-\frac{5}{9}\)
1/ 5+9+13+...+2015+2019
số số hạng :(2019-5):4+1=504,5
tổng:(2019+5)x504.5:2=510554