Question #d6786

2 Answers
Mar 13, 2017

Answer:

#172%#

Explanation:

fraction to percent:
#a/b\rArr(a\divb)\times100#


#\therefore43/25\rArr(43\div25)\times100#
#=1.72\times100=172%#

Mar 13, 2017

Answer:

#172%#

Explanation:

#color(blue)("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 #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 #1/100#

So #x%# is the same as #x xx1/100->x/100 -> x%#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Answering your question")#

Given:#" "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)) #

#" "=" "172/100#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

#172xx1/100->172%#