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W=A/3 What does A equal?

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Answer:

[tex]\huge\boxed{\bf\:A = 3W}[/tex]

Step-by-step explanation:

If [tex]\sf\:W = \frac { A } { 3 }[/tex], then A = ?

At first let's shift the the term 'W' to the LHS & A/3 to the RHS to bring the equation in the standard form.

[tex]\sf\:\frac{A}{3}=W[/tex]

Now, we know that, A/3 is the same as ⅓ A. Then,

[tex]\sf\:\frac{1}{3}A=W[/tex]

By multiplting both sides by 3..

[tex]\sf\:\frac{\frac{1}{3}A}{\frac{1}{3}}=\frac{W}{\frac{1}{3}} \\\sf\: A=\frac{W}{\frac{1}{3}}[/tex]

Divide [tex]\sf\:\frac{W}{\frac{1}{3}}[/tex] by its reciprocal.

[tex]\sf\:A=\frac{W}{\frac{1}{3}} \\ \sf\:A = \frac{3W}{1}\\[/tex]

So, the value of A is [tex]\downarrow[/tex]

[tex]\boxed{\bf\:A = 3W}[/tex]

__________

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