Converting Terminating Decimals into Fractions


 
 
Concept Explanation
 

Converting Terminating Decimals into Fractions

The decimal numbers can be of two types

1. Terminating Decimals

2. Non-Terminating Decimals

Converting Terminating Decimals into Fractions:

The steps to convert a terminating decimal number to its simplest frac{p}{q} form are as follows:

1. Obtain the rational number

2. Count the number of digits in the decimal part.

3. Remove the decimal point from the number and write 1 as its denominator followed by as many zeros as the number of digits in the decimal part.

4. Convert the fraction obtained in step 3 to its lowet form

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Sample Questions
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Question : 1

The decimal representation of the following fraction is ________________,

dpi{100} large frac{11}{2^{3}times5} .

Right Option : C
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Question : 2

Which of the following decimal number is terminating?

Right Option : A
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Explanation
Question : 3

Express each of the following decimal numbers in the form   large frac{p}{q}  :  8.0025

Right Option : B
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Explanation
 
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