If x+y=3/4, xy=1/4 and (1/x)+(1/y)=a, then what is the value of a?

The answer is 3.

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Make $\boxed{ \frac{1}{x} + \frac{1}{y} =a }$ a single fraction

$\frac{y}{xy} + \frac{x}{xy}$

$\frac{y + x}{yx}$

Substitute given values forx + yandxy$\frac{\frac{3}{4}}{\frac{1}{4}}$

$\frac{ 3 * 4}{1 * 4}$

= $\boxed{3}$