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Division of Mixed Fraction by Improper or Proper Fractions

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Dividing Fractions | NCERT Solutions Practice Question | Maths

Dividing Fractions

Dividing Whole numbers by Fractions:

  • When a whole number is divided by a fraction, whole number is to be multiplied by the reciprocal of that fraction.
  • In generalise form, for any whole number ‘a’ and fraction \cfrac{b}{c}

a ÷ \cfrac{b}{c} = \cfrac{a}{1} \times \cfrac{c}{b} = \cfrac{a \times c}{b}

  • Reciprocal of a fraction, fraction are said to be reciprocal when we simply reverse the fraction i.e numerator becomes denominator and denominator becomes numerator. Two fractions are said to be reciprocal of each other if their product is 1.
  • In generalise form, for any fraction \cfrac{a}{b}

Reciprocal of \cfrac{a}{b} = \cfrac{b}{a}; \cfrac{a}{b} \times \cfrac{b}{a} = 1

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