We need to find the product:
[tex]\frac{3}{6}\times3[/tex]When we multiply a fraction by an integer number, that's the same as multiplying the numerator by that number and keeping the denominator the same.
So, we have:
[tex]\frac{3}{6}\times3=\frac{3\times3}{6}=\frac{9}{6}[/tex]Now, we need to simplify the resulting fraction. In order to do so, we can divide both the numerator (9) and the denominator (6) by their largest common divisor.
The largest common divisor of 9 and 6 is the number 3. So, we obtain:
[tex]\frac{9\div3}{6\div3}=\frac{3}{2}[/tex]Therefore, the simplified fraction that results is:
[tex]\frac{3}{2}[/tex]