Subtraction of Rational Numbers


 
 
Concept Explanation
 

Subtraction of Rational Numbers

Subtraction of a rational number means we are adding the additive inverse of the number to be subtracted to the other numberIf frac{a}{b} and  frac{c}{d}  are two rational numbers, then subtracting frac{c}{d}  from frac{a}{b} means adding additive inverse (negative) of frac{c}{d}  to   frac{a}{b}.

The subtraction of   frac{c}{d}   from   frac{a}{b} is written as frac{a}{b}-frac{c}{d}.

Thus, we have:

frac{a}{b}-frac{c}{d}=frac{a}{b}+left ( frac{-c}{d} right )                      left [ therefore ;;Additive;;inverse;;of;frac{c}{d};is;frac{-c}{d} right ]

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Sample Questions
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Question : 1

Mrs Priya earns Rs. 18000 per month. She spends    large frac{7}{12}   on household items and    large frac{1}{8}   on rest of the things. The amount she saves is _____________ .

Right Option : B
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Question : 2

What number should be added to frac{3}{8}  to get -frac{1}{24}  ?

Right Option : A
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Question : 3

Simplify:   frac{5}{9}-frac{2}{9}=

Right Option : B
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