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A chef had to fill up 4/5 of a container with mash potatoes. He ended up using 2 4/6 pounds of mashed potatoes. How many pounds would he need to fill the container all the way

Verified Answer :

3 and one third

3 1/3

Answer: He would need \(3\dfrac{1}{3}\) pounds to fill the container all the way.

Step-by-step explanation:

Since we have given that

Fraction of mashed potatoes he had to fill up a container = \(\dfrac{4}{5}\)

Fraction of mashed potatoes he ended up using = \(2\dfrac{4}{6}=2\dfrac{2}{3}=\dfrac{8}{3}\)

So, we need to find the number of pounds that he would need to fill the container all the way.

So, number of pounds would be

\(\dfrac{8}{3}\div \dfrac{4}{5}\\\\=\dfrac{8}{3}\times \dfrac{5}{4}\\\\=\dfrac{10}{3}\\\\=3\dfrac{1}{3}\)

Hence, he would need \(3\dfrac{1}{3}\) pounds to fill the container all the way.