Certainly! Let's solve the problem step-by-step.
1. Initial Medicine Quantity:
Matthew starts with a bottle of medicine containing 8 fluid ounces (fl oz).
2. Medicine Consumption on Thursday:
On Thursday, Matthew took [tex]\( 1 \frac{1}{4} \)[/tex] fluid ounces of medicine.
To convert this mixed number to an improper fraction:
[tex]\[ 1 \frac{1}{4} = 1 + \frac{1}{4} = \frac{4}{4} + \frac{1}{4} = \frac{5}{4} \][/tex]
As a decimal, [tex]\( 1 \frac{1}{4} \)[/tex] fluid ounces is:
[tex]\[ 1.25 \, \text{fl oz} \][/tex]
3. Medicine Consumption on Friday:
On Friday, Matthew took [tex]\( 2 \frac{1}{2} \)[/tex] fluid ounces of medicine.
To convert this mixed number to an improper fraction:
[tex]\[ 2 \frac{1}{2} = 2 + \frac{1}{2} = \frac{4}{2} + \frac{1}{2} = \frac{5}{2} \][/tex]
As a decimal, [tex]\( 2 \frac{1}{2} \)[/tex] fluid ounces is:
[tex]\[ 2.5 \, \text{fl oz} \][/tex]
4. Total Medicine Consumed:
The total amount of medicine Matthew consumed over Thursday and Friday is:
[tex]\[ 1.25 \, \text{fl oz} + 2.5 \, \text{fl oz} = 3.75 \, \text{fl oz} \][/tex]
5. Medicine Left After Consumption:
To find out how much medicine is left, subtract the total amount consumed from the initial amount:
[tex]\[ 8 \, \text{fl oz} - 3.75 \, \text{fl oz} = 4.25 \, \text{fl oz} \][/tex]
So, the amount of medicine left in the bottle is:
[tex]\[ \boxed{4.25} \, \text{fluid ounces} \][/tex]
