Identifying the Fraction 3/5: Mathematical Number Recognition

Let's try to understand what is bigger and what is smaller than the number $\frac{3}{5}$

Since the denominator is 5, both the larger and smaller numbers will also have a denominator of 5:

\frac{?}{5}<\frac{3}{5}<\frac{?}{5}

Now let's complete the numerators with numbers that will help us reach whole numbers in fractions as follows:

\frac{0}{5}<\frac{3}{5}<\frac{5}{5}

Let's reduce the fractions as follows:

$\frac{0}{5}=0$

$\frac{5:5}{5:5}=\frac{1}{1}=1$

In other words, the fraction is between 0 and 1.

Let's try to find a smaller range, meaning consecutive numbers before and after the fraction's numerator as follows:

\frac{1}{5}<\frac{3}{4}<\frac{4}{5}