To write the repeating decimal
Answer to Problem 36PPS
Explanation of Solution
Given:
Concept Used:
To write a repeating decimal as a fraction:
- Write x equals to the repeating decimal.
- Place the repeating digit to the left of the decimal point.
- The number of repeating digits in both equations taken on right side of the decimal point should be equal.
- Solve the above two equations formed to find the value of x .
- The value of x is required fraction for the given repeating decimal.
Calculation:
In order to write the repeating decimal
First note that there are two repeating digits(4, and 5), now take:
Now multiply above equation by 100(since there are two repeating digit), as
Note that the number of repeating digits in both equations taken on right side of the decimal point should be equal.
Now, subtract
Thus, the given repeating decimal can be written into fraction equals to
Chapter 10 Solutions
Glencoe Algebra 2 Student Edition C2014
Additional Math Textbook Solutions
Algebra and Trigonometry (6th Edition)
Pre-Algebra Student Edition
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Introductory Statistics
Calculus: Early Transcendentals (2nd Edition)
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education