Converting the Fraction 10/3: Find the Decimal Equivalent

Let's try to understand what is larger and what is smaller than the number $\frac{10}{3}$

Since the denominator is 3, both the larger and smaller numbers will also have a denominator of 3:

\frac{?}{3}<\frac{10}{3}<\frac{?}{3}

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

\frac{9}{3}<\frac{10}{3}<\frac{12}{3}

We'll reduce the fractions as follows:

$\frac{12:3}{3:3}=\frac{4}{1}=4$

$\frac{9:3}{3:3}=\frac{3}{1}=3$

Therefore, the answer is:

3<\frac{10}{3}<4