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BÀi này cậu vận dụng kiến thức về phân số ở Tiểu học
tk mình nhé
Nếu giải ra thì tốn sức lắm
(4/5:6/5:1/y)x30-26=54
=> ( 2/3.y)x30 = 54+26
=> ( 2/3.y)x30=80
=> 2/3.y=80:30
=>2/3.y=8/3
=> y=8/3:2/3
=> y=4
vậy y =4
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\(\frac{9}{14}.y=\frac{7.4}{14.7}\)
\(\frac{9}{14}.y=\frac{1.2}{7.1}\)
\(\frac{9}{14}.y=\frac{2}{7}\)
\(y=\frac{2}{7}:\frac{9}{14}=\frac{2}{7}.\frac{14}{9}\)
\(y=\frac{2.2}{1.9}=\frac{4}{9}\)
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Ta có : \(\frac{9}{14}y=\frac{7}{14}.\frac{4}{7}\)
\(\Rightarrow\frac{9}{14}y=\frac{2}{7}\)
\(\Rightarrow y=\frac{2}{7}.\frac{14}{9}\)
\(\Rightarrow y=\frac{4}{9}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(1-\frac{1}{2}\right)\cdot\left(1-\frac{1}{3}\right)\cdot\left(1-\frac{1}{4}\right)\cdot...\cdot\left(1-\frac{1}{7}\right)\)
\(=\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot\frac{4}{5}\cdot\frac{5}{6}\cdot\frac{6}{7}\)
\(=\frac{\left(1\cdot2\cdot3\cdot4\cdot5\cdot6\right)}{\left(2\cdot3\cdot4\cdot5\cdot6\cdot7\right)}\)
\(=\frac{1}{7}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
C1 : \(\frac{7}{11}\):\(\frac{3}{5}\)+\(\frac{4}{11}\):\(\frac{3}{5}\)
=\(\frac{7}{11}\)x\(\frac{5}{3}\)+\(\frac{4}{11}\)x\(\frac{5}{3}\)
=\(\frac{35}{33}\)+\(\frac{20}{33}\)
=\(\frac{55}{33}\)=\(\frac{5}{3}\)
C2: \(\frac{7}{11}\):\(\frac{3}{5}\)+\(\frac{4}{11}\):\(\frac{3}{5}\)
= \(\frac{3}{5}\)x (\(\frac{7}{11}\)+\(\frac{4}{11}\))
=\(\frac{3}{5}\)x 1= \(\frac{3}{5}\)
\(C1:\frac{7}{11}:\frac{3}{5}+\frac{4}{11}:\frac{3}{5}\)
\(=\frac{7}{11}x\frac{5}{3}+\frac{4}{11}x\frac{5}{3}\)
\(=\frac{35}{33}+\frac{20}{33}\)
\(=\frac{55}{33}=\frac{5}{3}\)
\(C2:\frac{7}{11}:\frac{3}{5}+\frac{4}{11}:\frac{3}{5}\)
\(=\frac{7}{11}x\frac{5}{3}+\frac{4}{11}x\frac{5}{3}\)
\(=\frac{5}{3}x\left(\frac{7}{11}+\frac{4}{11}\right)\)
\(=\frac{5}{3}x1=\frac{5}{3}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
đưa hết hỗn số về dạng phân số rồi quy đồng bình thường ạ !
Hoàng_Linh_Nga làm đc thì làm nhé.
Giải:
\(2\frac{1}{6}+3\frac{2}{3}\)
\(=\frac{13}{12}+\frac{11}{9}\)
\(=\frac{249}{108}\)
\(4\frac{3}{4}-3\frac{5}{6}\)
\(=\frac{19}{16}-\frac{23}{18}\)
\(=\frac{342}{288}-\frac{368}{288}\)
\(=\frac{-26}{288}\)xem lại đề đi nhé
\(9\frac{1}{6}\times4\frac{2}{3}\)
\(=\frac{55}{18}\times\frac{15}{12}\)
\(=\frac{825}{216}\)
\(2\frac{5}{7}:\frac{14}{5}\)
\(=\frac{19}{7}:\frac{14}{5}\)
\(=\frac{95}{98}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 6/9+5/7+1/3=2/3+5/7+1/3=5/7+1=12/7
b, 17/7+6/5-20/14=17/7+6/5-10/7=6/5+1=11/5
c,2/5x1/4+3/4x2/5=2/5x(1/4+3/4)=2/5x1=2/5
d, 6/11:4/6+5/11:2/3=6/11:2/3+5/11:2/3=(6/11+5/11):2/3=3/2
nha
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\frac{2}{3}.\frac{4}{5}+\frac{1}{3}.\frac{4}{5}=\frac{4}{5}\left(\frac{2}{3}+\frac{1}{3}\right)=\frac{4}{5}.\frac{3}{3}=\frac{4}{5}.1=\frac{4}{5}\)
\(\frac{1}{2}:\frac{3}{4}+\frac{1}{6}:\frac{3}{4}=\frac{3}{4}:\left(\frac{1}{2}+\frac{1}{6}\right)=\frac{3}{4}:\frac{2}{3}=\frac{9}{8}\)
\(\frac{2}{3}.\frac{4}{5}-\frac{1}{3}.\frac{4}{5}=\frac{4}{5}\left(\frac{2}{3}-\frac{1}{3}\right)=\frac{4}{5}.\frac{1}{3}=\frac{4}{15}\)
\(\frac{1}{2}:\frac{3}{4}-\frac{1}{6}:\frac{3}{4}=\frac{3}{4}:\left(\frac{1}{2}-\frac{1}{6}\right)=\frac{3}{4}:\frac{1}{3}=\frac{9}{4}\)
\(\frac{2}{3}.\frac{4}{5}+\frac{1}{3}.\frac{4}{5}=\left(\frac{2}{3}+\frac{1}{3}\right).\frac{4}{5}=1.\frac{4}{5}=\frac{4}{5}\)
\(\frac{1}{2}:\frac{3}{4}+\frac{1}{6}:\frac{3}{4}=\frac{1}{2}.\frac{4}{3}+\frac{1}{6}.\frac{4}{3}=\left(\frac{1}{2}+\frac{1}{6}\right).\frac{4}{3}=\frac{2}{3}.\frac{4}{3}=\frac{8}{9}\)
c,d tương tự
![](https://rs.olm.vn/images/avt/0.png?1311)
\(3\frac{1}{2}=\frac{7}{2};4\frac{5}{7}=\frac{33}{7}\)
\(3\frac{1}{2}+4\frac{5}{7}-\frac{5}{14}\)
\(=\frac{7}{2}+\frac{33}{7}-\frac{5}{14}\)
\(=\frac{49}{14}+\frac{66}{14}-\frac{5}{14}\)
\(=\frac{115}{14}-\frac{5}{14}\)
\(=\frac{110}{14}=\frac{55}{7}\)
\(\frac{4}{7}+\frac{14}{4}=\frac{16}{28}+\frac{98}{28}=\frac{16+98}{28}=\frac{114}{28}=\frac{57}{14}\)
Chúc bạn học tốt !~!
\(\frac{4}{7}+\frac{14}{4}=\frac{16}{28}+\frac{98}{28}=\frac{114}{28}=\frac{57}{14}\)