Question

Mark and his friends order 2 pizzas of the same size. The first pizza is cut into 6 slices of equal size.The second pizza is cut into 4 slightly slices of equal size.Each person plans to take 2 slices of pizza.Mark concludes that he would get more pizza by taking1 slice from each pizza,instead of 2 slices from the first pizza.Explain why mark is correct .Be sure to include a number comparison between using > or < in your explanation.

Answer 1

Answer with explanation:

Pizza ordered by Mark and his friends =2, same kind of Pizza

it is given that, The first pizza is cut into 6 slices of equal size and the second pizza is cut into 4 slightly slices of equal size.

So, Size of each part of first pizza which is cut into 6 slices

         $=\frac{1}{6}$

Size of each part of second pizza which is cut into 4 slices

         $=\frac{1}{4}$

So, if mark has chosen two slices from first pizza,total amount of pizza got by mark

$=\frac{1}{6}+\frac{1}{6}=\frac{2}{6}=\frac{1}{3}$

→ If mark has chosen two slices,one from first pizza and another one from, second pizza,total amount of pizza got by mark will be,

$=\frac{1}{6}+\frac{1}{4}=\frac{10}{24}=\frac{5}{12}$

→ If mark has chosen two slices from Second pizza,total amount of pizza got by mark will be

$=\frac{1}{4}+\frac{1}{4}=\frac{2}{4}=\frac{1}{2}$

Writing $\frac{1}{3}$ into equivalent fraction having denominator ,equal to 12,will be

$\frac{1}{3}=\frac{4}{12}$

$\frac{5}{12}>\frac{4}{12}$

So, Yes mark is right by saying that, he would get more pizza by taking 1 slice from each pizza,instead of 2 slices from the first pizza.

Answer 2

Answer:

you friend have 1/4 if a pizza he gave 1/2 of his share to you how much part of pizza you