Finding the Exact Value: Locating 7/5 in Number Systems

The number $\frac{7}{5}$ is found...

Let's first try to understand what is greater and what is smaller than the number $\frac{7}{5}$.

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

$\frac{?}{5}<\frac{7}{5}<\frac{?}{5}$

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

$\frac{5}{5}<\frac{7}{5}<\frac{10}{5}$

We'll reduce the fractions as follows:

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

$\frac{10:5}{5:5}=\frac{2}{1}=2$

Therefore, the answer is:

$1<\frac{7}{5}<2$