# Question 6a28a

Jul 26, 2016

Just another way of saying the same thing!

$\frac{5}{8}$

#### Explanation:

Fraction is composed of $\left(\text{count")/("size indicator}\right)$

Count is obvious needs no explanation.

Size indicator is how many of what you are counting it takes to make a whole of something

$\textcolor{red}{\text{You can not "ul("directly")" add or subtract the counts}}$$\textcolor{red}{\text{unless the size indicators are the same }}$
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

" "("count")/("size indicator")" "->" "("numerator")/("denominator")#

Lets make the size indicator (denominator) of $\frac{1}{4}$ the same as that of $\frac{3}{8}$

Multiply $\frac{1}{4}$ by 1 but where $1 = \frac{2}{2}$. This does not change the inherent value but it does change the way $\frac{1}{4}$ looks.

So $\textcolor{b r o w n}{\left(\frac{1}{4} \times 1\right) + \frac{3}{8}} \textcolor{b l u e}{\text{ "->" } \left(\frac{1}{4} \times \frac{2}{2}\right) + \frac{3}{8}}$

but $\left(\frac{1}{4} \times \frac{2}{2}\right) + \frac{3}{8} \text{ is the same as } \frac{2}{8} + \frac{3}{8}$

$= \frac{5}{8}$