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\(\frac{30\cdot25\cdot7\cdot8}{75\cdot8\cdot12\cdot14}\)
\(=\frac{2\cdot3\cdot5\cdot5\cdot5\cdot7\cdot8}{5\cdot3\cdot5\cdot8\cdot3\cdot2\cdot2\cdot2\cdot7}\)
\(=\frac{5}{3\cdot2\cdot2}\)
\(=\frac{5}{12}\)
\(\frac{2\cdot3\cdot5}{20\cdot6}\)
\(=\frac{2\cdot3\cdot5}{4\cdot5\cdot2\cdot3}\)
\(=\frac{1}{4}\)
\(\frac{30\times25\times7\times8}{75\times8\times12\times14}=\frac{6\times5\times25\times7\times8}{3\times25\times8\times6\times2\times7\times2}=\frac{5}{3\times2\times2}=\frac{5}{12}\)
\(\frac{2\times3\times5}{20\times6}=\frac{2\times3\times5}{4\times5\times3\times2}=\frac{1}{4}\)
~Học tốt ~~
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\(\dfrac{8.3.4}{8.2.3}=\dfrac{4}{2}=2\)
\(\dfrac{5.6.5.5.7.8}{5.5.3.8.2.6.2.7}=\dfrac{5}{12}\)
Bài 1:
\(\dfrac{7.3.7.11}{11.3.4}=\dfrac{49}{4}\)
\(b.\dfrac{3}{x}=\dfrac{3}{7}\Rightarrow x=7\)
Bài 2: ở phía dưới mình đã làm rồi
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\(\dfrac{8.3.4}{8.2.3}=\dfrac{4}{2}=2\)
b. \(\dfrac{5.6.5.5.7.8}{5.5.3.8.4.3.4.7}=\dfrac{5}{12}\)
Gọi 2 số cần tìm là a và b ( a< b )
Thay 1/2 ×a = 1/4×b
<=> a = (1/4×b )/(1/2)
Vào a + b = 2022
Ta được : (1/4 × b ) / ( 1/2) + b = 2022 ( bấm máy tính ra b hay dạng bài tìm x , tìm được b )
Rồi lấy 2022 - b = a
( tìm được a )
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bài 1:
\(\frac{6}{11}+\frac{1}{3}+\frac{5}{11}\)
\(=\left(\frac{6}{11}+\frac{5}{11}\right)+\frac{1}{3}\)
\(=\frac{11}{11}+\frac{1}{3}=1+\frac{1}{3}=\frac{3}{3}+\frac{1}{3}=\frac{4}{3}\)
bài 2:
\(\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}\)
\(=\left(\frac{1}{2}+\frac{1}{20}\right)+\left(\frac{1}{6}+\frac{1}{12}\right)\)
\(=\frac{11}{20}+\frac{1}{4}=\frac{11}{20}+\frac{5}{20}=\frac{15}{20}=\frac{3}{4}\)
bài 3:
a) \(\frac{3}{2}\cdot\frac{4}{5}\cdot\frac{2}{3}=\left(\frac{3}{2}\cdot\frac{2}{3}\right)\cdot\frac{4}{5}=1\cdot\frac{4}{5}=\frac{4}{5}\)
b) \(\frac{6}{7}\cdot\frac{5}{3}\cdot\frac{7}{6}=\left(\frac{6}{7}\cdot\frac{7}{6}\right)\cdot\frac{5}{3}=1\cdot\frac{5}{3}=\frac{5}{3}\)
bài 4:
a) \(\frac{2}{5}\cdot\frac{1}{4}+\frac{3}{4}\cdot\frac{2}{5}=\frac{2}{5}\cdot\left(\frac{1}{4}+\frac{3}{4}\right)=\frac{2}{5}\cdot1=\frac{2}{5}\)
b) \(\frac{6}{11}:\frac{2}{3}+\frac{5}{11}:\frac{2}{3}=\left(\frac{6}{11}+\frac{5}{11}\right):\frac{2}{3}=1:\frac{2}{3}=\frac{3}{2}\)
Bài 1:
6/11 + 1/3 + 5/11
= ( 6/11 + 5/11) + 1/3
= 11/11 + 1/3
= 1 + 1/3
= 3/3 +1/3
= 4/3
Bài 2:
1/2 + 1/6 + 1/12 + 1/20
= ( 1/2 + 1/6 + 1/12 ) + 1/20
= ( 6/12 + 2/12 + 1/12 ) + 1/20
=9/12 + 1/20
= 3/4 +1/20
= 15/20 + 1/20
= 16/20 = 4/5
Bài 3:
a) \(\frac{3}{2}\times\frac{4}{5}\times\frac{2}{3}\) \(=\left(\frac{3}{2}\times\frac{2}{3}\right)\times\frac{4}{5}\)\(=1\times\frac{4}{5}=\frac{4}{5}\)
b) \(\frac{6}{7}\times\left(\frac{5}{3}\times\frac{7}{6}\right)\) \(=\frac{6}{7}\times\frac{35}{18}\)\(=\frac{1\times5}{7\times3}=\frac{5}{21}\)
Bài 4:
a) 2/5 x 1/4 + 3/4 x 2/5
= 2/5 x ( 1/4 + 3/4)
= 2/5 x 1
= 2/5
b) 6/11 : 2/3 +5/11 : 2/3
= ( 6/11 + 5/11) x 3/2
= 11/11 x 3/2
= 1 x 3/2
= 3/2
....
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a, \(\frac{2}{3}+\frac{2}{3}+\frac{6}{3}=\frac{10}{3}\)
b,\(\frac{3}{4}+\frac{3}{4}+\frac{3}{2}=\frac{6}{4}+\frac{3}{2}=\frac{3}{2}+\frac{3}{2}=\frac{6}{2}=3\)
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bài 1
Ta có : 2016/2017<1
2017/2018<1
Nên 2016/2017=2017/2018
Bài 1 :
a) Ta có : \(\frac{2016}{2017}=1-\frac{1}{2017}\)
\(\frac{2017}{2018}=1-\frac{1}{2018}\)
Vì \(-\frac{1}{2017}< -\frac{1}{2018}\)nên \(\frac{2016}{2017}< \frac{2017}{2018}\)
b) Ta có : \(\frac{2018}{2017}=1+\frac{1}{2017}\)
\(\frac{2017}{2016}=1+\frac{1}{2016}\)
Vì \(\frac{1}{2017}< \frac{1}{2016}\) nên \(\frac{2018}{2017}< \frac{2017}{2016}\)
Câu 2 :
\(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{101.103}\)
\(=\frac{1}{2}.\left(\frac{2}{1.3}+\frac{2}{3.5}+\frac{2}{5.7}+...+\frac{2}{101.103}\right)\)
\(=\frac{1}{2}.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{101}-\frac{1}{103}\right)\)
\(=\frac{1}{2}.\left(1-\frac{1}{103}\right)\)
\(=\frac{1}{2}.\frac{102}{103}=\frac{51}{103}\)
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a: 30x25x7x8
=30x7x25x8
=210x200
=42000
b: 75x8x12x14
=75x12x8x14
=900x112
=100800
a, 30x25x7x8
=(30x7)x(25x8)
=210x200
=42000
b,75x8x12x14
=(75x8)x(12x4)
=600x168
=100800