Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 0.2, Problem 20E
To determine

To find: The simplest form of 0.4¯ as fraction.

Expert Solution & Answer
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Answer to Problem 20E

The simplest of 0.4¯ as fraction is 49 .

Explanation of Solution

Given information:

The repeating decimal 0.4¯ .

Formula used:

To convert a repeating decimal to a fraction where the repeating digits is single, multiply both sides by 10 and simplify it further.

Calculation:

Consider the providedrepeating decimal 0.4¯ .

Let us denote 0.4¯ it as x=0.4¯ .

Recall that to convert a repeating decimal to a fraction where the repeating digits is single, multiply both sides by 10 and simplify it further.

So, multiply x=0.4¯ by 10both sides, we get,

  x=0.4¯10×x=10×0.4¯10x=4.4¯

Now, subtract x=0.4¯ from 10x=4.4¯ .

So, it will be written as,

  10xx=4.4¯0.4¯9x=4x=49

Since, 49 cannot be simplified further,

Hence, the simplified form of repeating decimal 0.4¯ is 49 .

Chapter 0 Solutions

Algebra 1

Ch. 0.2 - Prob. 5ECh. 0.2 - Prob. 6ECh. 0.2 - Prob. 7ECh. 0.2 - Prob. 8ECh. 0.2 - Prob. 9ECh. 0.2 - Prob. 10ECh. 0.2 - Prob. 11ECh. 0.2 - Prob. 12ECh. 0.2 - Prob. 13ECh. 0.2 - Prob. 14ECh. 0.2 - Prob. 15ECh. 0.2 - Prob. 16ECh. 0.2 - Prob. 17ECh. 0.2 - Prob. 18ECh. 0.2 - Prob. 19ECh. 0.2 - Prob. 20ECh. 0.2 - Prob. 21ECh. 0.2 - Prob. 22ECh. 0.2 - Prob. 23ECh. 0.2 - Prob. 24ECh. 0.2 - Prob. 25ECh. 0.2 - Prob. 26ECh. 0.2 - Prob. 27ECh. 0.2 - Prob. 28ECh. 0.2 - Prob. 29ECh. 0.2 - Prob. 30ECh. 0.2 - Prob. 31ECh. 0.2 - Prob. 32ECh. 0.2 - Prob. 33ECh. 0.2 - Prob. 34ECh. 0.2 - Prob. 35ECh. 0.3 - Prob. 1ECh. 0.3 - Prob. 2ECh. 0.3 - Prob. 3ECh. 0.3 - Prob. 4ECh. 0.3 - Prob. 5ECh. 0.3 - Prob. 6ECh. 0.3 - Prob. 7ECh. 0.3 - Prob. 8ECh. 0.3 - Prob. 9ECh. 0.3 - Prob. 10ECh. 0.3 - Prob. 11ECh. 0.3 - Prob. 12ECh. 0.3 - Prob. 13ECh. 0.3 - Prob. 14ECh. 0.3 - Prob. 15ECh. 0.3 - Prob. 16ECh. 0.3 - Prob. 17ECh. 0.3 - Prob. 18ECh. 0.3 - Prob. 19ECh. 0.3 - Prob. 20ECh. 0.3 - Prob. 21ECh. 0.3 - Prob. 22ECh. 0.3 - 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