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

One fruit salad recipe requires large frac{1}{2} cup of sugar. Another recipe for the same fruit salad requires 2 tablespoons of sugar. If 1 tablespoon is equivalent to large frac{1}{16} cup, then how much more sugar does the first recipe require?

Right Option : C
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Question : 2

What should be added to large frac{1}{2}+frac{1}{3}+frac{2}{5}    to  get  3?

Right Option : A
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Question : 3

Evaluate the following values :-

1. Subtract  frac{3}{4} from frac{5}{6}

2. Subtract frac{-3}{5}from frac{9}{10}

3. Subtract frac{-3}{8}from frac{-5}{7}

Right Option : C
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