Answer:
bottles.
Explanation:
We have been given that you are filling bottles from 5 gallons of lemonade. We are asked to find the number of bottles each holding 3/8 of a gallon that can be filled from 5 gallons of lemonade.
To find the number of bottles, we will divide 5 by 3/8 as:
![\text{Number of 3/8 gallon bottles}=5/ (3)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/b70v2i5yfmv9t75c6kxljo26kad9r2ggiz.png)
![\text{Number of 3/8 gallon bottles}=(5)/(1)/ (3)/(8)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ncbbtq3gmkpumbd4t1ca7itovtktd7acef.png)
Convert to multiply problem by flipping the 2nd fraction:
![\text{Number of 3/8 gallon bottles}=(5)/(1)* (8)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jd1z0o98uyd7hqpv222uqaj9sy2w6yyk9g.png)
![\text{Number of 3/8 gallon bottles}=(5* 8)/(1* 3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ffkixuk93qk82y4in1a8h4gs0b0409al1e.png)
![\text{Number of 3/8 gallon bottles}=(40)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sa2i397zcpwtengelgsgijr8igyq4451xa.png)
![\text{Number of 3/8 gallon bottles}=13(1)/(3)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zoj941b1wzbn8514oou42ifa88hhfu6ua8.png)
Therefore,
bottles of lemonade can be filled.