# Question #332c7

Jun 14, 2017

$2 \frac{1}{8} = \frac{17}{8}$

#### Explanation:

To write a mixed number as an improper fraction, we follow these steps:

1) Look at the mixed number and identify the denominator of the fraction.

$2 \frac{1}{\textcolor{red}{8}}$

2) The denominator will also be our denominator in our improper fraction. For the numerator, first you multiply the whole number by the denominator, like so:

$\textcolor{b l u e}{2} \frac{1}{\textcolor{red}{8}} \implies \textcolor{b l u e}{2} \cdot \textcolor{red}{8} \implies \textcolor{g r e e n}{16}$

3) Then you add the product to the numerator in the mixed number. This sum will be the numerator of the improper fraction:

$2 \frac{\textcolor{p u r p \le}{1}}{8}$

$\textcolor{g r e e n}{16} + \textcolor{p u r p \le}{1} \implies \textcolor{g r a y}{17}$

4) Combining the numerator and the denominator, we get the final answer:

$\frac{\textcolor{g r a y}{17}}{\textcolor{red}{8}}$