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\(0,5.1\frac{1}{3}.75\%:\frac{2}{5}+\frac{3}{5}\)
\(=\frac{1}{2}.\frac{4}{3}.\frac{3}{4}:\frac{2}{5}+\frac{3}{5}\)
\(=\frac{1}{2}.\frac{4}{3}.\frac{3}{4}.\frac{5}{2}+\frac{3}{5}\)
\(=\frac{5}{4}+\frac{3}{5}\)
\(=\frac{37}{20}\)
\(0,5.1\frac{1}{3}.75\%:\frac{2}{5}+\frac{3}{5}\)
\(=\frac{1}{2}.\frac{4}{3}.\frac{3}{4}:\frac{2}{5}+\frac{3}{5}\)
\(=\frac{1}{2}.\frac{4}{3}.\frac{3}{4}.\frac{5}{2}+\frac{3}{5}\)
\(=\frac{1.4.3.5}{2.3.4.2}+\frac{3}{5}\)
\(=\frac{5}{4}+\frac{3}{5}\)
\(=\frac{37}{20}\)
~Học tốt~
\(P=\frac{1}{5^2}+\frac{2}{5^3}+\frac{3}{5^4}+\frac{4}{5^5}+...+\frac{11}{5^{12}}\)
\(\Rightarrow\)\(5P=\frac{1}{5}+\frac{2}{5^2}+\frac{3}{5^3}+\frac{4}{5^4}+...+\frac{11}{5^{11}}\)
\(\Rightarrow\)\(4P=\frac{1}{5}+\frac{1}{5^2}+\frac{1}{5^3}+\frac{1}{5^4}+...+\frac{1}{5^{11}}-\frac{1}{5^{12}}\)
\(\Rightarrow\)\(20P=1+\frac{1}{5}+\frac{1}{5^2}+\frac{1}{5^3}+...+\frac{1}{5^{10}}-\frac{1}{5^{11}}\)
\(\Rightarrow\)\(16P=1-\frac{1}{5^{11}}+\frac{1}{5^{12}}-\frac{1}{5^{11}}\)\(< 1\)
\(\Rightarrow\)\(P< \frac{1}{16}\)
P/s: nguyên tác: https://olm.vn/thanhvien/nhatphuonghocgiot
3/4-3/2+1/2:5/12-1/4
3/4-3/2+1/2.12/5-1/2
3/4-3/2+6/5-1/2
3/4-6/4+6/5-1/2
-3/4+6/5-1/2
-15/20+24/20-10/20
9/20-10/20
-1/20
Ta có : \(A=3+3^2+3^3+.....+3^{2016}\)
\(\Rightarrow3A=3^2+3^3+3^4+......+3^{2017}\)
\(\Rightarrow3A-A=3^{2017}-3\)
\(\Rightarrow2A=3^{2017}-3\)
\(\Rightarrow A=\frac{3^{2017}-3}{2}\)
\(B=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+.....+\frac{1}{1024}\)
\(\Rightarrow2B=1+\frac{1}{2}+\frac{1}{4}+.....+\frac{1}{512}\)
\(\Rightarrow2B-B=1-\frac{1}{1024}\)
\(\Rightarrow B=\frac{1023}{1024}\)
1/ \(\frac{3}{5}=\frac{60}{100}=60\%\)
\(\frac{9}{12}=\frac{75}{100}=75\%\)
2/ \(18\frac{13}{19}+31\frac{8}{19}-\frac{2}{19}\)
\(=18\frac{13}{19}+31\frac{6}{19}\)
\(=\left(18+31\right)\frac{13}{19}+\frac{6}{19}\)
\(=49\frac{19}{19}\)
Bài 1 :
36/1212 = 3/101
13/1313 = 1/101
3/101 + 1/101 = 4/101
Vậy 36/1212 + 13/1313 = 4/101.
Bài 2 :
A = 5/13 + 1/2 + -5/9 + -3/6 + 4/-9
A = 5/13 + 1/2 + -5/9 + -1/2 + -4/9
A = (1/2 + -1/2) + (-5/9 + -4/9) + 5/13
A = 0 + (-1) + 5/13
A = (-1) + 5/13 = -13/13 + 5/13 = 8/13.
Chúc bạn học giỏi nhé.
\(4\frac{2}{7}.3=\left(4+\frac{2}{7}\right).3=4.3+\frac{2}{7}.3=12+\frac{6}{7}=12\frac{6}{7}\)
Cách này nhanh hơn nhiều đúng không
hoa mắt (@_@)