[tex]\displaystyle \\
\frac{153015}{ 173417} = ? \\ \\
\text{Descompunem numerele in factori primi: }\\ \\
153015 = 15 \times 10201 =3 \times 5\times 101^2 \\ \\
173417 = 17 \times 10201 = 17 \times 101^2 \\ \\ \\
\Longrightarrow~~~\frac{153015}{ 173417} = \frac{3 \times 5\times 101^2}{ 17 \times 101^2 } = \frac{3 \times 5}{ 17 } =\boxed{\frac{15}{ 17 } }[/tex]