Answer :
Answer:
3/4 cup milk
Step-by-step explanation:
I order to be able to compare quantities that come in fraction form, the best is to write all of them as equivalent fractions with the same denominator. That way just looking at the magnitude of the numerators will allow us to give the answer.
the fractions to consider are: [tex]\frac{3}{4} \,,\, \frac{2}{6} \,, \, and\, \frac{8}{12}[/tex]
so the denominators in question are: 4, 6, and 12.
We see that 12 is the Least Common Denominator (LCD) of these three, since 4 divides perfectly 12, 6 divides 12 perfectly, and 12 divides itself perfectly as well.
Now, the initial fractions can be re-written with equivalent fractions showing denominator 12.We do such by multiplying numerator and denominator of the first fraction by "3" in order to get a "12" in the denominator. By multiplying the second fraction by 2 in numerator and denominator to get a "12" in the denominator. Notice that we don't need to modify the third fraction since it is already expressed with denominator 12:
[tex]\frac{3}{4} \,,\, \frac{2}{6} \,, \, and\, \frac{8}{12}=\\=\,\frac{9}{12} \,,\, \frac{4}{12} \,, \, and\, \frac{8}{12}[/tex]
Therefore, the greatest of these is the first fraction, that shows a "9" in the numerator (the largest of the three numerators)