# Question d6786

Mar 13, 2017

172%

#### Explanation:

fraction to percent:
$\frac{a}{b} \setminus \Rightarrow \left(a \setminus \div b\right) \setminus \times 100$

$\setminus \therefore \frac{43}{25} \setminus \Rightarrow \left(43 \setminus \div 25\right) \setminus \times 100$
=1.72\times100=172%

Mar 13, 2017

172%

#### Explanation:

$\textcolor{b l u e}{\text{Preamble}}$

Percentage is just a fraction but a special one. What makes it special is that the bottom number (denominator) is always 100

Suppose we had some unknown value that I will call $x$

Then $\frac{x}{100}$ is a percentage and is the same as x%

Where does the % come in? Think of it as a unit of measurement but one that is worth $\frac{1}{100}$

So x% is the same as x xx1/100->x/100 -> x%
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$\textcolor{b l u e}{\text{Answering your question}}$

Given:$\text{ } \frac{43}{25}$

To convert this to a percentage we need to change the bottom number into 100. Multiply a number by 1 and you do not change the value. However, 1 comes in many forms so you can change the way a number looks without changing its value.

color(green)(43/25color(red)(xx1)" "=" "43/25color(red)(xx4/4)" "=" "(43color(red)(xx4))/(25color(red)(xx4)) 

$\text{ "=" } \frac{172}{100}$
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172xx1/100->172%#