Question

Lucas used 2 1/4 liters of lemonade to completely fill 2 bottles if the bottles are all the same size how many liters of lemonade does each bottle hold

Answer 1

You know that Lucas used this amount of lemonade to completely fill two bottles:

`2(1)/(4)L`

Let's write the Mixed number as a fraction:

- Multiply the Whole number 2 by the denominator 4.

- Add the numerator 1 to the product.

- Rewrite the same denominator.

Then:

`((2\cdot4)+1)/(4)=(9)/(4)`

Now, since the bottles are all the same size, you to divide the fraction by 2:

`(9)/(4)/2`

- Take the reciprocal of the second fraction:

`=(9)/(4)\cdot(1)/(2)`

- Multiplying the numerators and multiplying the denominatorsr, you get:

`=(9)/(8)L`

- If you want the result in decimal form, you can divide the numerator by de denominator:

`=1.125L`

The answer is: Each bottle holds 1.125 liters of lemonade.