ANSWER
Lea can wash 4½ loads of laundry with the remaining detergent.
Step-by-step explanation
Quantity of detergent left
![= (3)/(4)](https://img.qammunity.org/2019/formulas/mathematics/college/qtvkmxtavrvmswkzty2z0mjgwi4ft64jm9.png)
Quantity required to watch each load
![= (1)/(6)](https://img.qammunity.org/2019/formulas/mathematics/high-school/i6ek3qe74bj62a6mzy5qmik600bdh44dbt.png)
Number of loads Lea can wash
![= (3)/(4) / (1)/(6)](https://img.qammunity.org/2019/formulas/mathematics/high-school/l0eo3a7oi56bqqk1sgxakb17n3ee20zv4a.png)
We now simplify this by multiplying with the reciprocal
Number of loads Lea can wash
![= (3)/(4) * (6)/(1)](https://img.qammunity.org/2019/formulas/mathematics/high-school/ac8kfnpcdwt9jgf4dg4nol4pk3g6unuaf9.png)
![= (3)/(2) * (3)/(1)](https://img.qammunity.org/2019/formulas/mathematics/high-school/4i6g4xq9ah13saurbi62ysjgrgedehsuyb.png)
![= (9)/(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/hz430tr60sg5uprva0bajyocimtcr95akj.png)
![= 4 (1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/high-school/zsvdmg9he14i7s3l9qk3njlyjoy76ops4v.png)
Therefore Lea can wash 4½ loads of laundry with the remaining detergent.