Suppose that the numerator and denominator of a fraction are

Suppose that the numerator and denominator of a fraction are increased by the same amount.

(a) is the new fraction always, sometimes, or never greater than the original fraction? justify your anwer

(b) is the new fracion always, sometimes, or never equal to the original fracion? justify your answer

(c) is the new fracion always, sometimes, or never less than the orifinal fraction? justify your answer

Solution

a) New fraction Sometimes greater than the original fraction because its depend on the values of numerator & denminator.

b) New fraction Sometimes equal to the original fraction only in case of same value of numerator & denominator.

c) New fraction Sometimes less than the original fraction because its depend on the values of numerator & denminator.

Explaination:

We should understand the questions properly here we are increasing by the same amount not in the same ratio, like if we add 5 in numerator & denominator both then all conditions will be depend on its original value.