To determine [tex]\(\frac{1}{3}\)[/tex] of the adult dosage, follow these steps:
1. Identify the adult dosage ([tex]\(M\)[/tex]):
[tex]\[
M = 180 \text{ mg}
\][/tex]
2. Calculate [tex]\(\frac{1}{3}\)[/tex] of the adult dosage:
To do this, we multiply the adult dosage by [tex]\(\frac{1}{3}\)[/tex].
[tex]\[
\text{One-third dosage} = \frac{1}{3} \times M
\][/tex]
Substituting the value of [tex]\(M\)[/tex]:
[tex]\[
\text{One-third dosage} = \frac{1}{3} \times 180 \text{ mg}
\][/tex]
3. Perform the multiplication:
[tex]\[
\text{One-third dosage} = \frac{180}{3} \text{ mg}
\][/tex]
4. Complete the division:
[tex]\[
\frac{180}{3} = 60 \text{ mg}
\][/tex]
Thus, [tex]\(\frac{1}{3}\)[/tex] of the adult dosage of 180 milligrams is [tex]\(\boxed{60 \text{ mg}}\)[/tex].