Solve the following equation for a,a. Be sure to take into account whether a letter is capitalized or not.

Question

start fraction, Q, divided by, r, end fraction, equals, start fraction, f, divided by, a, end fraction
r
Q
​
=
a
f
​

Answer 1

To solve the equation

\[ \frac{Q}{r} = \frac{f}{a} \]

we'll want to isolate \( a \). Here are the steps:

1. Cross multiply to eliminate the fractions:

\[ Q \cdot a = r \cdot f \]

2. Now, to isolate \( a \), divide both sides by \( Q \):

\[ a = \frac{r \cdot f}{Q} \]

Thus, the solution for \( a \) is:

\[ a = \frac{rf}{Q} \]