Converting Fractions into Decimal


 
 
Concept Explanation
 

Converting Fractions into Decimal

Converting Fractions into Decimal:

A rational number is a number which can be expressed in the form large frac{m}{n}, where m and n are both integers and large nneq 0. A rational number frac{m}{n} is said to be in its lowest terms, if large nepsilon N and m and n have no common factor other than 1. For example frac{2}{3},frac{7}{4},frac{12}{2} etc are rational numbers in their lowest terms, whereas frac{22}{32} is not in its lowest terms.

A rational number frac{m}{n} is a positive rational number if m and n are of the same sign.

If m and n are such that one of them is positive and another one is negative, then the rational number frac{m}{n} is negative.

Recall that every integer m is also a rational number, as it can be written as frac{m}{1}

A rational number, like all fractions, can also be expressed as a decimal number. The following illustrations will illustrate the same.

Illustration: Express frac{7}{8} in the decimal form by long division method.

Solution:   We have,

 

large therefore ;;;;frac{7}{8}=0.875

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Sample Questions
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Question : 1

 Find the decimal representation of  dpi{100} large frac{1}{7} .

Right Option : D
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Question : 2

Ron bought 150 bananas from a nearby fruit vendor but later found out that 50 of them were rotten. Can you tell the fraction and the decimal value of the rotten bananas to the total bananas bought by Ron?

Right Option : B
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Question : 3

Express 0.750 decimal in the form

frac{p}{q}  

Right Option : C
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