Types of Fractions: Proper fraction & Improper fraction

Proper and Improper fractions:

As discussed in previous topic www.blogger.com/blogger.g a fraction is a part of something.  Hence fractions are always less than 1. Let me explain this, As in the pizza figure www.blogger.com/blogger.g a pizza is cut in 4 parts. Say we are calculating the number of parts Anne ate.
Fraction of pizza ate = (Number of parts Anne ate)/ (Total parts)
If Anne eats 4 parts then the fraction is,
Fraction of pizza ate= 4/4= 1, that is one full pizza so any part eaten less than all 4 pizza parts will give us an answer less than 1.

Try your answers assuming she ate, 2 parts and 3 parts. Whats your answer? Is it less than 1?

So when in the fraction the numerator is less than the denominator or the fraction is less than 1 its a proper fraction.
eg; 3/4 (3<4, hence proper fraction because 3/4=0.75 which is less than 1)
when in the fraction the numerator is more than the denominator or the fraction is more than 1 its an improper fraction.
eg; 5/4 (5>4, hence improper fraction because 5/4= 1.25 which is more than 1)

Take home message:

  • For Proper fraction, the numerator is smaller than denominator, the decimal value will be less than 1.
  • For Improper fraction, the numerator is bigger than denominator, the decimal value will be more than 1.

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