Q:

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?

Accepted Solution

A:
Answer:a. They all get the same quantity of ice cream. b. Fraction of the pint of ice cream that will be left is 1/5Step-by-step explanation:Tape diagram is attached to support reasoning. a. Youngest grandchild 1/5 of the ice creamMiddle grandchild 1/4 of the remaining iceThe remaining ice is 4/5.  To get how much he gave to the middle grandchild we make 1/4 x 4/5For 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=1/5We make the same for the last grand child.  Remaining ice is 3/5 ( we discount the previous servings)=1/3 x 3/5= 1/5b. 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