To solve for [tex]\(\frac{a}{g}\)[/tex] given [tex]\(a \cdot t = c \cdot g\)[/tex], let's follow these steps:
1. Start with the given equation:
[tex]\[
a \cdot t = c \cdot g
\][/tex]
2. To isolate [tex]\(\frac{a}{g}\)[/tex], we need to rearrange the equation. First, divide both sides of the equation by [tex]\(g \cdot t\)[/tex]:
[tex]\[
\frac{a \cdot t}{g \cdot t} = \frac{c \cdot g}{g \cdot t}
\][/tex]
3. Simplify both sides of the equation:
[tex]\[
\frac{a}{g} = \frac{c}{t}
\][/tex]
Therefore, the solution is:
[tex]\[
\frac{a}{g} = \frac{c}{t}
\][/tex]