The information we have is:
Soap used in 1/2 day is 3/4 of a bottle.
We need to find how much soup would be used in a full day.
Since a full day is double of 1/2 day, we need to multiply the given information by 2.
Multiplying the amount of soap by 2:
![2*(3)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/w8kmnj8aq38ohytieabhoe62ri60gc1k65.png)
When we multiply a number by a fraction, we multiply that number by the numerator:
![(2*3)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/a0tg2e3lhn6k0k6ii837gmh3l0qfc205xf.png)
Solving these operations:
![(6)/(4)](https://img.qammunity.org/2023/formulas/mathematics/high-school/kob3hwf61v58rzdps069h78zbg27y8gl52.png)
Converting this to a mixed fraction:
![1(2)/(4)](https://img.qammunity.org/2023/formulas/mathematics/college/8htrerezhc3b24lk9h0lg6qyuqs1bq709l.png)
Which is the same as:
![1(1)/(2)](https://img.qammunity.org/2023/formulas/mathematics/high-school/jqfjlurdjqvgzu6zj6nec0xekpl7kvt3ne.png)
Answer:
1 1/2