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4/9 x 3/8 + 5/8 = 1/6 + 5/8 = 19/24
1/3 : 1/6 - 5/11 = 2 - 5/11 = 17/11
1/6 : 1/4 x 9/8 = 2/3 x 9/8 = 3/4
a, 2 \(\times\) \(\dfrac{2}{4}\) : \(\dfrac{4}{5}\) b, \(\dfrac{7}{8}\) \(\times\) \(\dfrac{4}{5}\) : 3
= 1 : \(\dfrac{4}{5}\) = \(\dfrac{7}{10}\) : 3
= 1 \(\times\) \(\dfrac{5}{4}\) = \(\dfrac{7}{10}\) \(\times\) \(\dfrac{1}{3}\)
= \(\dfrac{5}{4}\) = \(\dfrac{7}{30}\)
\(2\times\dfrac{2}{4}:\dfrac{4}{5}\)
\(=1:\dfrac{4}{5}\)
\(=1\times\dfrac{5}{4}\)
\(=\dfrac{5}{4}\)
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\(\dfrac{7}{8}\times\dfrac{4}{5}:3\)
\(=\dfrac{7}{2}\times\dfrac{1}{5}:3\)
\(=\dfrac{7}{10}\times\dfrac{1}{3}\)
\(=\dfrac{7}{30}\)
Chúc bạn học tốt:>
Lời giải:
a.
$\frac{5}{15}-\frac{1}{6}\times \frac{2}{5}=\frac{5}{15}-\frac{1}{15}=\frac{4}{15}$
b.
$\frac{8}{24}+\frac{3}{4}:\frac{1}{8}=\frac{1}{3}+6=\frac{19}{3}$
c.
$\frac{1}{7}: \frac{2}{8}-\frac{1}{7}=\frac{1}{7}\times 4-\frac{1}{7}$
$=\frac{1}{7}\times (4-1)=\frac{1}{7}\times 3=\frac{3}{7}$
a: \(=\dfrac{3}{5}\cdot\dfrac{5}{4}+\dfrac{1}{2}\cdot\dfrac{2}{3}=\dfrac{3}{4}+\dfrac{1}{3}=\dfrac{9+4}{12}=\dfrac{13}{12}\)
b: \(\Leftrightarrow x\cdot\dfrac{5}{4}=\dfrac{5}{8}\)
hay x=1/2
\(A=\dfrac{5}{4}-\left(\dfrac{3}{8}+\dfrac{1}{a}\right):\dfrac{4}{5}\) \(\left(a\ne0\right)\)
Tại a = 12 biểu thức \(A=\dfrac{5}{4}-\left(\dfrac{3}{8}+\dfrac{1}{12}\right):\dfrac{4}{5}=\dfrac{5}{4}-\dfrac{11}{24}:\dfrac{4}{5}=\dfrac{5}{4}-\dfrac{11}{24}.\dfrac{5}{4}=\dfrac{5}{4}-\dfrac{55}{96}=\dfrac{65}{96}\)
Để \(A=\dfrac{15}{23}< =>\dfrac{5}{4}-\left(\dfrac{3}{8}+\dfrac{1}{a}\right):\dfrac{4}{5}=\dfrac{15}{23}\)
\(\Leftrightarrow\left(\dfrac{3}{8}+\dfrac{1}{a}\right):\dfrac{4}{5}=\dfrac{55}{92}< =>\dfrac{3}{8}+\dfrac{1}{a}=\dfrac{11}{23}< =>\dfrac{1}{a}=\dfrac{19}{184}< =>a=\dfrac{184}{19}\)
Thay \(a=12\) vào A ta có:
\(A=\dfrac{5}{4}-\left(\dfrac{3}{8}+\dfrac{1}{12}\right):\dfrac{4}{5}=\dfrac{65}{96}\)
Vậy:
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Ta có:
\(A=\dfrac{15}{23}\) khi \(\dfrac{5}{4}-\left(\dfrac{3}{8}+\dfrac{1}{a}\right):\dfrac{4}{5}=\dfrac{15}{23}\)
\(\Rightarrow\left(\dfrac{3}{8}+\dfrac{1}{a}\right)\cdot\dfrac{5}{4}=\dfrac{5}{4}-\dfrac{15}{23}\)
\(\Rightarrow\dfrac{3}{8}+\dfrac{1}{a}=\dfrac{55}{92}:\dfrac{5}{4}\)
\(\Rightarrow\dfrac{3}{8}+\dfrac{1}{a}=\dfrac{11}{23}\)
\(\Rightarrow\dfrac{1}{a}=\dfrac{11}{184}\)
\(\Rightarrow a=\dfrac{1\cdot184}{11}=\dfrac{184}{11}\)
A)\(\dfrac{7}{20}-\left(\dfrac{5}{8}-\dfrac{2}{5}\right)\)
\(=\dfrac{7}{20}-\left(\dfrac{25}{40}-\dfrac{16}{40}\right)\)
\(=\dfrac{7}{20}-\dfrac{9}{40}\)
\(=\dfrac{14}{40}-\dfrac{9}{40}=\dfrac{5}{40}=\dfrac{1}{8}\)
B) \(\dfrac{5}{6}+\left(\dfrac{5}{9}-\dfrac{1}{4}\right)\)
\(=\dfrac{5}{6}+\left(\dfrac{20}{36}-\dfrac{9}{36}\right)\)
\(=\dfrac{5}{6}+\dfrac{11}{36}\).
\(=\dfrac{30}{36}+\dfrac{11}{36}=\dfrac{41}{36}\)
C) \(\dfrac{9}{10}-\left(\dfrac{2}{5}-\dfrac{3}{10}\right)+\dfrac{7}{20}\)
\(=\dfrac{9}{10}-\left(\dfrac{4}{10}-\dfrac{3}{10}\right)+\dfrac{7}{20}\)
\(=\dfrac{9}{10}-\dfrac{1}{10}+\dfrac{7}{20}\)
\(=\dfrac{18}{20}-\dfrac{2}{20}+\dfrac{7}{20}=\dfrac{23}{20}\)
a: =7/20-5/8+2/5
=14/40-25/40+16/40
=5/40=1/8
b: =5/6+5/9-1/4
=30/36+20/36-9/36
=41/36
c: =9/10-2/5+3/10+7/20
=12/10-2/5+7/20
=7/20+6/5-2/5
=7/20+4/5
=7/20+16/20
=23/20
\(\frac{5}{8}:\frac{4}{5}+\frac{3}{8}:\frac{4}{5}\) = \(\left(\frac{5}{8}+\frac{3}{8}\right):\frac{4}{5}=1:\frac{4}{5}=\frac{5}{4}\)
\(\frac{5}{8}:\frac{4}{5}+\frac{3}{8}:\frac{4}{5}\)
\(=\left(\frac{5}{8}+\frac{3}{8}\right):\frac{4}{5}\)
\(=1:\frac{4}{5}\)
\(=\frac{5}{4}\)