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

Express each of the following numbers in the form     large frac{p}{q}    :   0.00026

Right Option : A
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Question : 2

Express each of the following numbers in the form large frac{p}{q}   :  0.675

Right Option : B
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Explanation
Question : 3

What is the fractional equivalent of 0.215

Right Option : B
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Explanation
 
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