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

#### Organon

##### New member
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
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
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
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
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
Thanks!

This makes sense.