Question

when two fractions refer to the same whole, explain why the fraction with a lesser denominator has larger pieces than the fraction with a greater denominator

Answer 1

when two fractions refer to the same whole than the fraction with a lesser denominator has larger pieces than the fraction with a greater denominator because:

for example: let us consider a pizza is to be divided in two ways such that each gets the equal amount:

• the pizza is divided among 4 people.

Hence the will get 1/4 part of the pizza.

• the pizza is divided among 8 people

Hence they will get 1/8 part of the pizza.

Hence, in the first case the people will get more amount as compared to the second case.

Hence, if as a whole the denominator is less the fraction is bigger.