Question

1.Tính

a)0.(3)+3\(\dfrac{1}{3}\)+0,4(2) b)\(\dfrac{4}{9}\)+1,2(31)-0,(13)

2.Tìm x, biết

a)0,(37)x=1 b)0,(26)x=1,2(31)

Answer 1

Bài 1:

a) \(0,\left(3\right)+3\dfrac{1}{3}+0,4\left(2\right)\)

\(=\dfrac{1}{3}+\dfrac{10}{3}+\dfrac{19}{45}\)

\(=\dfrac{184}{45}\)

b) \(\dfrac{4}{9}+1,2\left(31\right)-0,\left(13\right)\)

\(=\dfrac{4}{9}+\dfrac{1219}{990}-\dfrac{13}{99}\)

\(=\dfrac{1789}{990}\)

Bài 2:

a) \(0,\left(37\right)x=1\)

\(\Leftrightarrow\dfrac{37}{99}.x=1\)

\(\Leftrightarrow x=1:\dfrac{37}{99}\)

\(\Leftrightarrow x=\dfrac{99}{37}\)

b) \(0,\left(26\right)x=1,2\left(31\right)\)

\(\Leftrightarrow\dfrac{26}{99}x=\dfrac{1219}{990}\)

\(\Leftrightarrow x=\dfrac{1219}{990}:\dfrac{26}{99}\)

\(\Leftrightarrow x=\dfrac{1219}{260}\)

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Answer 2

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