Question

Grandpa Mick opened a pint of ice cream. He gave his youngest grandchild 1/5 of the ice cream and his middle grandchild 1/4 of the remaining ice cream. Then, he gave his oldest grandchild 1/3 of the ice cream that was left after serving the others.
a. Who got the most ice cream? How do you know? Draw a picture to support your reasoning.
b. What fraction of the pint of ice cream will be left if Grandpa Mick serves himself the same amount as the second grandchild?

Answer 1

Answer:

a. They all get the same quantity of ice cream.

b. Fraction of the pint of ice cream that will be left is 1/5

Step-by-step explanation:

Tape diagram is attached to support reasoning.

a. Youngest grandchild 1/5 of the ice cream

Middle grandchild 1/4 of the remaining ice

The remaining ice is 4/5.  

To get how much he gave to the middle grandchild we make 1/4 x 4/5

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×4/4×5=4/20

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 4 and 20 using

GCF(4,20) = 4

=1/4×4/5=1/5

We make the same for the last grand child.  

Remaining ice is 3/5 ( we discount the previous servings)

=1/3 x 3/5= 1/5

b. If Grandpa serves himself the same amount, 1/5,

That will be 1/5 for each person ( they are 4 persons),  we use 4/5

Then, will be left 1/5