# Question 2f289

Apr 26, 2017

$\frac{15}{7}$

#### Explanation:

Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its intrinsic value.

Did you know you can and may write whole numbers like a fraction. For example the number of 2 may be written as $\frac{2}{1}$. Not normally done but it is correct.

Write $2 \frac{1}{7} \text{ as: } 2 + \frac{1}{7}$

Now write as: $\text{ } \textcolor{g r e e n}{\left[2 \textcolor{red}{\times 1}\right] + \frac{1}{7}}$

$\text{ } \textcolor{g r e e n}{\left[\frac{2}{1} \textcolor{red}{\times \frac{7}{7}}\right] + \frac{1}{7}}$

" "color(green)([ (2color(red)(xx7))/(1color(red)(xx7))] + 1/7#

$\text{ "color(green)([14/7]+1/7)" "=" "(14+1)/7" "=" } \frac{15}{7}$

Apr 27, 2017

$\frac{15}{7}$

#### Explanation:

To find the improper fraction / convert a mixed number into an improper fraction we must perform two operations...

Firstly, we find the product of the whole number and the denominator. For example:

= $2 \cdot 7$
= $14$

Then, we add the result of this operation onto the numerator.
For example.

= $\frac{14 + 1}{7}$
= $\frac{15}{7}$

All the best!