Question

A lottery has a grand prize of 23 1/2 million dollars. There are 4 people who have winning tickets and they share this prize equally. How many millions of dollars does each person get? Express the answer as a mixed number.

Answer 1

We should first convert 23 1/2 million dollars to a mixed number:

$23\frac{1}{2}=\frac{47}{2}$

Then we need to divide this by 4, since 4 people won an equal amount of the prize:

$\frac{(\frac{47}{2})}{4}$

And to solve this, we must multiply both the numerator and the denominator by $\frac{1}{4}$. This will then cancel out the 4 in the denominator:

$\frac{47}{2}*\frac{1}{4} =\frac{47}{8}$

This is the amount each individual person won; we must convert this to a mixed number since the question asked us to:

$\frac{47}{8}=5\frac{7}{8}$

So now we know that each person won $5\frac{7}{8}$ million dollars.

Answer 2

Answer:

Each person will get $5\frac{7}{8}$ million dollars.

Step-by-step explanation:

Amount of grand prize of the lottery is $23\frac{1}{2}$ million dollars.

We have to divide this amount among 4 people.

Let each person gets the amount = x million dollars

Then the total amount distributed = 4x million dollars

The equation to model the total amount of the lottery will be

4x = $\frac{47}{2}$

x = $\frac{47}{2\times 4}$

x = $\frac{47}{8}$ million dollars

  = $5\frac{7}{8}$ million dollars

Therefore, each person will get $5\frac{7}{8}$ million dollars.