Give a proper fraction
a. Whose denominator is 9 and numerator is 5.
b. Whose numerator and denominator add up to 10? How many fractions of this kind can you
make?
c. Whose denominator is 4 more than the numerator? Give any five. How many more can you
make?

Answer :

We know proper fraction  : A fraction where the numerator  is less than the denominator .

And

a ) Denominator  = 9  and numerator  = 5 , SO proper fraction  = $\frac{5}{9}$

b ) If we take only integers value , we get proper fractions Whose numerator and denominator add up to 10. As :

$\frac{1}{9} , \frac{2}{8} , \frac{3}{7} , \frac{4}{6}$ , So we can say that we can make 4 fraction for this condition                                                        ( Ans )

c ) If we take only integers value , we get proper fractions Whose denominator is 4 more than the numerator  . As :

$\frac{1}{5} , \frac{2}{6} , \frac{3}{7} , \frac{4}{8} , \frac{5}{9} , ...$, So we can say that we can make infinite number of  fraction for this condition                                                        ( Ans )