If b does not equal zero, and \(ab = \frac{\mathrm{b} }{\mathrm{4} }\) , what is the value of a?
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Detailed Explanation
To solve for a, divide both sides of the equation by b:
\(ab = \frac{\mathrm{b} }{\mathrm{4} }\)
\(\frac{\mathrm{ab} }{\mathrm{b}} = \frac{\mathrm{b/4} }{\mathrm{b} }\)
\(a = \frac{\mathrm{b} }{\mathrm{4} } \times \frac{\mathrm{1} }{\mathrm{b}} = \frac{\mathrm{1} }{\mathrm{4} } \)
\(ab = \frac{\mathrm{b} }{\mathrm{4} }\)
\(\frac{\mathrm{ab} }{\mathrm{b}} = \frac{\mathrm{b/4} }{\mathrm{b} }\)
\(a = \frac{\mathrm{b} }{\mathrm{4} } \times \frac{\mathrm{1} }{\mathrm{b}} = \frac{\mathrm{1} }{\mathrm{4} } \)
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