Solving Equation W/ Fractions and Decimals: (100p-4000/100p)=.3

Organon

New member
Joined
Dec 15, 2017
Messages
5
I am having a bit of trouble with the following equation:

(100p-4000/100p)=.3

Honestly, I don't know where to start with this one and would really appreciate some guidance on what steps to take.
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
18,193
I am having a bit of trouble with the following equation:

(100p-4000/100p)=.3

Honestly, I don't know where to start with this one and would really appreciate some guidance on what steps to take.
Does the equation look like:

\(\displaystyle \displaystyle{\dfrac{100p-4000}{100p}}\)

Or:

\(\displaystyle \displaystyle{\dfrac{100p-4000}{100}p}\)

or:

\(\displaystyle \displaystyle{100p-\dfrac{4000}{100}p}\)

or something else...
 

stapel

Super Moderator
Staff member
Joined
Feb 4, 2004
Messages
15,945
I am having a bit of trouble with the following equation:

(100p-4000/100p)=.3

Honestly, I don't know where to start with this one and would really appreciate some guidance on what steps to take.
Has your class not yet covered solving this sort of equation, so you haven't seen "multiplying both sides by the common denominator to clear the fractions"...? ;)
 

Organon

New member
Joined
Dec 15, 2017
Messages
5
Does the equation look like:

\(\displaystyle \displaystyle{\dfrac{100p-4000}{100p}}\)

Or:

\(\displaystyle \displaystyle{\dfrac{100p-4000}{100}p}\)

or:

\(\displaystyle \displaystyle{100p-\dfrac{4000}{100}p}\)

or something else...
Top one.

Sorry, I don't know how to do equation formatting on the site yet.
 

Subhotosh Khan

Super Moderator
Staff member
Joined
Jun 18, 2007
Messages
18,193
I am having a bit of trouble with the following equation:

(100p-4000/100p)=.3

Honestly, I don't know where to start with this one and would really appreciate some guidance on what steps to take.
You should have written it as:

(100*p - 4000)/(100*p) = 0.3

There are multiple ways to proceed from here. My preferred next step would be - to multiply both sides by (100p) - to get rid of fraction:

(100*p - 4000)/(100*p) = 0.3

(100*p - 4000)/(100*p) * 100*p = 0.3* 100*p

100*p -4000 = 30 * p

Now continue....
 

Organon

New member
Joined
Dec 15, 2017
Messages
5
Thanks!

This makes sense.
 
Top