LaTonya has 2 equal sized hotdogs. She cut the first one into thirds at lunch. Later she cut the second hotdog to make double the number of pieces. Draw a model of LaTonya’s hotdogs.
a. How many pieces is the second hotdog cut into?
b. If she wants to eat 2/3 of the second hotdog, how many pieces should she eat?
Look again at your models of LaTonya’s hotdogs. Let’s change the problem slightly.
What if LaTonya eats 2 pieces of each hotdog?
Figure out what fraction of each hotdog she eats.
She eats 2/3 of the first one and 2/6 of the second one.
Did LaTonya eat the same amount of the first hotdog and the second hotdog?
No. But she ate 2 pieces of each hotdog.
Why is the amount she ate different?
The number of pieces is the same, but the size of each piece is different.
The more you cut up a whole, the smaller the pieces get.
So eating 2 pieces of thirds is more hotdog than 2 pieces of sixths.
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