Question
Asked Aug 26, 2019
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Express the repeating decimal number as a quotient of two integers

 

4.09 with 9 repeating 

 

simplfy your answer, write an improper fraction.

Express the repeating decimal number as a quotient of two integers.
4.09
4.09
(Simplify your answer. Type an improper fraction.)
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Express the repeating decimal number as a quotient of two integers. 4.09 4.09 (Simplify your answer. Type an improper fraction.)

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Expert Answer

Step 1

We want to express the repeating decimal number as a quotient of two integers.

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Let us write x 4.09 = 4.09999 ...

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Step 2

Now our motive is to remove repeating ...

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10x 40.99999 ... 409.99999 ... -(1) -(2) 100x Equation (2) Equation (1) gives, 90x 369 369 90 41 10

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