Question

Fill in the blanks:
A proper fraction lies between 0 and ……..

Answer 1

Hint: To fill the blank space, we just need to know what the proper fraction is. And this is the only hint to lead. After zero which number will restrict us to proper fractions will be the answer.

Complete step-by-step answer:
We know that proper fractions are having numerator less than denominator.
If we choose a segment starting from 0 and ending at 1 and then divide the segment in 10 or 20 equal parts the value of each segment will be a proper fraction because the last segment will be 1.
But if we continue this with a segment from 0 to 2 , the segments after 1 will be like improper fractions.
Say 0 to 2 is divided in 10 equal parts. The fraction \[\dfrac{{10}}{{10}} = 1\] will be the valued 1. After that the fractions will be \[\dfrac{{11}}{{10}},\dfrac{{12}}{{10}},....\dfrac{{20}}{{10}} = 2\] that is the set of all improper fraction.
This blank space will be the answer as 1.
So, the correct answer is “1”.

Note: Note that dividing a segment is like we do in case of a number line to represent the in between numbers. Improper fractions have numerator greater than denominator.
This is applicable for negative fractions also. Only the symbol will be additional there.