Answer
$3\frac{1}{2}$, $\frac{7}{2}$
Work Step by Step
When a fraction has an integer value followed by a fraction where the numerator of the fraction is less than the denominator of the fraction
i.e. $x\frac{y}{z}$ where
1) $x, y$ and $z, \ne0$
2) $y, z \gt0$
3) $y\lt z$
It is called a mixed number.
When a fraction has no integer value before it and the numerator is greater than or equal to the denominator
i.e. $\frac{y}{z}$ where
1) $y$ and $z \ne0$
2) $y\geq z$
It is called an improper fraction.
We can convert a mixed number ($x\frac{y}{z}$) to an improper fraction \frac{y}{z} using the following formula:
$x\frac{y}{z}=\frac{xz+y}{z}$
In this problem, we can express $3+\frac{1}{2}$ as a mixed number by "removing" the plus sign (any integer plus a fraction can be expressed as a mixed number by simply removing the addition sign): $3\frac{1}{2}$
We can convert this to an improper fraction using the formula:
$3\frac{1}{2}=\frac{(3)(2)+1}{2}$
$=\frac{6+1}{2}$
$=\frac{7}{2}$
