Simplify the denominator sum

Find the LCM of 6 and 4, which is 12, then add the fractions: $\frac{5}{6} + \frac{2}{4} = \frac{10}{12} + \frac{6}{12} = \frac{16}{12} = \frac{4}{3}$

$\frac{4}{3}$

Perform the division in the main expression

Now evaluate the reciprocal of the sum and multiply by the division factor: $1 \div \frac{4}{3} \div \frac{4}{29} = \frac{3}{4} \div \frac{4}{29}$

$\frac{3}{4} \times \frac{29}{4}$

Calculate final product

Multiply the numerators and denominators: $\frac{3 \times 29}{4 \times 4} = \frac{87}{16}$

$\frac{87}{16}$

Convert to mixed fraction

Divide 87 by 16: $87 = 16 \times 5 + 7$, resulting in the mixed number $5\frac{7}{16}$.

$5\frac{7}{16}$