# You have a pitcher that holds 39.3 oz of lemonade. If each glass holds 8.8 oz, how many glasses can you completely fill?

Apr 19, 2018

4 glasses

#### Explanation:

divide 39.3 and 8.8

$\frac{39.3}{8.8}$ = $4.4659$ oz

however, the question requires the glasses to completely be filled and so with these types of questions, you must round down to four glasses of lemonade.

Apr 19, 2018

$4$

#### Explanation:

This problem can be modeled by the equation
$8.8 x = 39.3$, where $x$ is the number of glasses that can be filled.
$8.8 x = 39.3$ Divide by $8.8$ to isolate $x$
$x = 4.465 \ldots$

Because each glass must be "completely fill"ed, the partial glass ($0.465 \ldots$) cannot be counted, so you can completely fill $4$ glasses.

Apr 19, 2018

$4$ glasses can be filled.

#### Explanation:

To solve this problem, you want to divide your $39.3$ ounces of lemonade by the amount of space in the glasses, $8.8$ ounces. To divide with decimals, you want to set it up like this:

In our case, the dividend would be $39.3$ and the divisor would be $8.8$. When your divisor is a decimal, in which in our case it is, you have to move all of the decimals over until you can get a whole number in the divisor. Our divisor, $8.8$, is a decimal. If we move the decimal one point to the right, then the number becomes $88$, which is a whole number. Since we moved our decimal point in $8.8$, we also have to move the decimal one space over in $39.3$ and get the number $393$.

You would move both decimal points the same number of spaces, so if you had $4.89$ divided by $6.7$, you would move both points one spot to the right. It is okay if your divisor is a decimal!

Now that our divisor is a whole number, we can divide. Our new problem is $393$ divided by $88$. If we take $88$ times $4$, we can get $352$, which as close to $393$ as we can get.

So, we would be able to fill up $4$ cups of lemonade and still have some left over.

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