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Cách 1:
\(\left(\frac{1}{3}+\frac{1}{5}\right):\frac{2}{5}=\frac{8}{15}:\frac{2}{5}=\frac{8}{15}\times\frac{5}{2}=\frac{4}{3}\)
Cách 2:
\(\left(\frac{1}{3}+\frac{1}{5}\right):\frac{2}{5}=\frac{1}{3}:\frac{2}{5}+\frac{1}{5}:\frac{2}{5}=\frac{5}{6}+\frac{1}{2}=\frac{4}{3}\)
Học tốt ah
Cách 1:
\(\left(\frac{1}{3}+\frac{1}{5}\right):\frac{2}{5}=\left(\frac{5}{15}+\frac{3}{15}\right)\cdot\frac{5}{2}=\frac{8}{15}\cdot\frac{5}{2}=\frac{40}{30}=\frac{4}{3}\)
Cách 2:
\(\left(\frac{1}{3}+\frac{1}{5}\right):\frac{2}{5}=\left(\frac{1}{3}+\frac{1}{5}\right)\cdot\frac{5}{2}=\frac{1}{3}\cdot\frac{5}{2}+\frac{1}{5}\cdot\frac{5}{2}=\frac{5}{6}+\frac{1}{2}=\frac{5}{6}+\frac{3}{6}=\frac{8}{6}=\frac{4}{3}\)
pham duy dat
Chú ý :
MỜi bạn đọc kỹ đề hoặc xem lại đề .
ĐỀ sai từ khi có dấu phẩy thứ 2 sau dấu cộng .
\(a,50\%+\dfrac{7}{12}-\dfrac{1}{2}\\ =\dfrac{1}{2}+\dfrac{7}{12}-\dfrac{1}{2}\\ =\left(\dfrac{1}{2}-\dfrac{1}{2}\right)+\dfrac{7}{12}\\ =\dfrac{7}{12}\\ b,2022\times67+2022\times43-2022\times10\\ =2022\times\left(67+43-10\right)\\ =2022\times100\\ =202200.\\ c,125-25:3\times12\)
\(=25\times5-25:3\times12\\ =25\times\left(5-\dfrac{1}{3}\right)\times12\\ =25\times\dfrac{14}{3}\times12\\ =1400\)
a,50%+127−21=21+127−21=(21−21)+127=127b,2022×67+2022×43−2022×10=2022×(67+43−10)=2022×100=202200.c,125−25:3×12
Bài 1:
a) \(2\frac{1}{4}+1\frac{1}{2}-1\frac{4}{5}\)
=\(\frac{9}{4}\)+\(\frac{3}{2}\)-\(\frac{9}{5}\)
=\(\frac{45}{20}+\frac{30}{20}-\frac{36}{20}\)
=\(\frac{39}{20}\)
b) \(2\frac{2}{3}\times3\frac{1}{4}:2\frac{3}{4}\)
\(\frac{8}{3}\times\frac{13}{4}:\frac{11}{4}\)
=\(\frac{8}{3}\times\frac{13}{4}\times\frac{4}{11}\)
=\(\frac{104}{33}\)
Bài 2:
a) \(\frac{7}{9}+\frac{4}{5}+\frac{11}{9}+\frac{6}{5}\)
=\(\left(\frac{7}{9}+\frac{11}{9}\right)+\left(\frac{4}{5}+\frac{6}{5}\right)\)
=2+2
=4
b) \(\frac{21}{36}\times\frac{39}{14}\times\frac{54}{13}\)
=\(\frac{21\times39\times54}{36\times14\times13}\)
=\(\frac{675}{100}\)
7/3/8 - 4/5/8 = 59/8 - 37/8 = 12
2/1/4 +5/1/4 = 9/4 + 21/4 = 15/2
3/1/4 x 2/3/5 = 13/4 x 13/5 =11/20
\(7\frac{3}{8}-4\frac{5}{8}=\frac{59}{8}-\frac{37}{8}=\frac{22}{8}\)\(=\)\(2,75\)
\(2\frac{1}{4}+5\frac{1}{4}=\frac{9}{4}+\frac{21}{4}=\frac{30}{4}=7,5\)
\(3\frac{1}{4}\times2\frac{3}{5}=\frac{13}{4}\times\frac{13}{5}=\frac{169}{20}=8,45\)
#Minyun
\(A=1+\dfrac{1}{5}+\dfrac{1}{25}+\dfrac{1}{125}+...+\dfrac{1}{625}+\dfrac{1}{78125}\)
\(=1+\dfrac{1}{5}+\dfrac{1}{5^2}+\dfrac{1}{5^3}+...+\dfrac{1}{5^7}\)
\(5A=5+1+\dfrac{1}{5}+\dfrac{1}{5^2}+...+\dfrac{1}{5^6}\)
\(\Leftrightarrow5A-A=5+1+\dfrac{1}{5}+\dfrac{1}{5^2}+...+\dfrac{1}{5^6}-1-\dfrac{1}{5}-\dfrac{1}{5^2}-\dfrac{1}{5^3}-...-\dfrac{1}{5^7}\)
\(\Leftrightarrow4A=5-\dfrac{1}{5^7}\Leftrightarrow A=\dfrac{5-\dfrac{1}{5^7}}{4}=\dfrac{\dfrac{390624}{78125}}{4}=\dfrac{390624}{312500}=\dfrac{97656}{78125}\)
2/1 x 3 + 2/3 x 5 + 2/5 x 7 + ..... + 2/97 x 99
= 2/1 - 2/3 + 2/3 - 2/5 + 2/5 - 2/7 + ..... + 2/97 - 2/99
= 2/1 - 2/99
= 196/99
2/1×3+2/3×5+2/5×7+...+2/97×99
=1-1/3+1/3-1/5+....+1/97-1/99
=1-1/99
=98/99
Cách 1 :
\(\left(\frac{1}{3}+\frac{1}{5}\right):\frac{2}{5}=\frac{8}{15}:\frac{2}{5}=\frac{8}{15}\times\frac{5}{2}=\frac{4}{3}\)
Cách 2:
\(\left(\frac{1}{3}+\frac{1}{5}\right):\frac{2}{5}=\frac{1}{3}:\frac{2}{5}+\frac{1}{5}:\frac{2}{5}=\frac{5}{6}+\frac{1}{2}=\frac{4}{3}\)
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