If you write the given equation in fraction form, it would be presented this way:
[tex] \frac{1}{ \frac{1}{3} + \frac{1}{5}+ \frac{1}{7} } [/tex]
The exponent, ⁻¹, stands for inverse or reciprocal. Let's simplify this fraction first before dividing it by 11. Starting from the denominator, find the greatest common factor of 3, 5 and 7. That would be 3×5×7 = 105. Divide 105 to 3, 5 and 7, respectively, and add to their numerators. That would be
[tex] \frac{1}{ \frac{36+22+16}{105} } = 105/71[/tex]
Now, we divide this by 11 and the answer is 0.13444. That means the remainder is 13444/10.