Question

\frac{m}{a} = p + n, for a

Explanation:

Step1: Start with the given equation

We have the equation \(\frac{m}{a}=p + n\). To solve for \(a\), we can use the property of equality related to division and multiplication. If we multiply both sides of the equation by \(a\), we get rid of the denominator on the left - hand side. So, \(a\times\frac{m}{a}=a\times(p + n)\), which simplifies to \(m=a(p + n)\).

Step2: Isolate \(a\)

Now, we want to get \(a\) by itself. We can divide both sides of the equation \(m=a(p + n)\) by \((p + n)\) (assuming \(p + n
eq0\)). So, \(\frac{m}{p + n}=\frac{a(p + n)}{p + n}\).

Step3: Simplify the equation

Since \(\frac{a(p + n)}{p + n}=a\) (when \(p + n
eq0\)), we have \(a = \frac{m}{p + n}\).

Answer:

\(a=\frac{m}{p + n}\) (for \(p + n
eq0\))