Question

simplify the following expression. assume any factors you cancel are not zero.
\\(\dfrac{\dfrac{7}{s} + \dfrac{6}{t}}{st}\\)
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Explanation:

Step1: Combine numerator fractions

Find a common denominator $st$ for the numerator:
$\frac{7}{s} + \frac{6}{t} = \frac{7t + 6s}{st}$

Step2: Rewrite the complex fraction

Replace numerator with combined fraction:
$\frac{\frac{7t + 6s}{st}}{st}$

Step3: Divide by multiplying reciprocal

Dividing by $st$ is multiplying by $\frac{1}{st}$:
$\frac{7t + 6s}{st} \times \frac{1}{st} = \frac{7t + 6s}{s^2t^2}$

Answer:

$\frac{7t + 6s}{s^2t^2}$