Amongst the following fractions, the largest and second largest fractions, respectively are $\frac{5}{6}$, $\frac{3}{4}$, $\frac{1}{2}$, $\frac{2}{3}$, $\frac{3}{5}$

The correct answer is $\frac{5}{6}$ and $\frac{3}{4}$.

To find the largest and second largest fractions among the given set, let us convert each fraction into its decimal form or compare them using a common denominator.

Given fractions:

$\frac{5}{6}$, $\frac{3}{4}$, $\frac{1}{2}$, $\frac{2}{3}$, $\frac{3}{5}$

Step 1: Convert each fraction into decimal form.

$\frac{5}{6}=\mathrm{0.8333...}$

$\frac{3}{4}=0.75$

$\frac{1}{2}=0.50$

$\frac{2}{3}=\mathrm{0.6666...}$

$\frac{3}{5}=0.60$

Step 2: Compare the values in descending order.

$\mathrm{0.8333...}>0.75>\mathrm{0.6666...}>0.60>0.50$

Arranging the corresponding fractions from largest to smallest gives:

$\frac{5}{6}>\frac{3}{4}>\frac{2}{3}>\frac{3}{5}>\frac{1}{2}$

Therefore, the largest fraction is $\frac{5}{6}$ and the second largest fraction is $\frac{3}{4}$.