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\(\frac{1}{42}+\frac{1}{30}+\frac{1}{20}+\frac{1}{12}+\frac{1}{6}+\frac{1}{2}=\frac{1}{1\times2}+\frac{1}{2\times3}+....+\frac{1}{6\times7}=\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-...-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}\)= 1 - 1/7 = 6/7
\(\frac{\left(\frac{3}{15}+\frac{1}{4}+\frac{7}{20}\right).\frac{17}{9}}{5\frac{1}{3}+\frac{2}{5}}=\frac{\left(\frac{4+5+7}{20}\right).\frac{17}{9}}{\frac{16}{3}+\frac{2}{5}}\)
= \(\frac{\frac{4.17}{5.9}}{\frac{86}{15}}=\frac{68}{45}:\frac{86}{15}=\frac{34}{129}\)
Tíc nhé! :")
a) chắc bạn cũng biết
b) \(\frac{2005.2007-1}{2004+2005.2006}=\frac{2005.\left(2006+1\right)-1}{2004+2005.2006}=\frac{2005.2006+2005.1-1}{2004+2005.2006}=\frac{2005.2006+2004}{2004+2005.2006}=1\)
A) 1000000 - 107492 : 154 x 28 + 1000
= 1000000 - 19544 + 1000
= 981456
B) 8/15 + 4/7 + 14/30 + 12/21 + 5
= 15/7 + 5
= 50/7
C) 9/13 : 6/11 - 5/12 : 6/11
= 9/13 x 11/6 - 5/12 x 11/6
= (9/13 - 5/12) x 11/6
= 43/156 x 11/6
= 473/936
Bài 2
1) X x2 + X x 1/5 = 8/5
X x (2 + 1/5 ) = 8/5
X x 11/5 = 8/5
X = 8/5 x 5/11
X = 8/11
2) X : 3/8 = 4/3 : 3/6
X : 3/8 = 8/3
X = 8/3 x 3/8
X = 1
a) 1 000 000 - 107 492 : 154 x 28 + 1000
= 1 000 000 - 698 x 28 + 1000
= 1 000 000 - 19544 + 1000
= 980 456 + 1000
= 981 456
b) 8/15 + 4/7 + 14/30 + 12/21 + 5
= ( 8/15 + 14/30 ) + ( 4/7 + 12/21 ) + 5
= ( 16/30 + 14/30 ) + ( 12/21 + 12/21 ) + 5
= 30/30 + 24/21 + 5
= 1 + 24/21 + 5
= ( 1 + 5 ) + 24/21
= 6 + 24/21
= 150/21
= 50/7
\(\frac{7}{11}:\frac{3}{5}+\frac{4}{11}x\frac{5}{6}\)
=\(\frac{7}{11}x\frac{5}{3}+\frac{20}{66}\)
=\(\frac{35}{33}+\frac{10}{33}\)
=\(\frac{45}{33}\)
=\(\frac{15}{11}\)
= 7/11 x 5/3 + 4/11 x 5/6
= 35/33 + 10/33
=15/11
CHÚC BẠN HỌC TỐT
(3/20 + 1/2 - 1/5 ) X 12/49 = 1/7
3.1/3 + 2/9 = 11/9
\(\left(\frac{3}{20}+\frac{1}{2}-\frac{1}{15}\right).\frac{12}{49}\)
\(=\left(\frac{9}{60}+\frac{30}{60}-\frac{4}{60}\right).\frac{12}{49}\)
\(=\frac{35}{60}.\frac{12}{49}\)
\(=\frac{1}{7}\)