Question

Complex fraction help?

Answer 1

\[\large \frac{\frac{1}{4p}-\frac{3}{p}}{\frac{1}{4p}+\frac{4}{p}}\]

Answer 2

First thing we want to do is find a common denominator for both the numerator and denominator. Let's start with the numerator.

Between \(4p\) and \(p\), what would you say the common denominator is?

Answer 3

@RockerChic8 ?

Answer 4

i.e using common denominator method
separate the numerator and the denominator with a bracket.
solve them like you would do your normal fraction addition or subtraction
(Remember that, when you are dividing by a fraction, you flip the fraction and turn the division into multiplication.)

Answer 5

example

Answer 6

@jhannybean p?

Answer 7

Not quite. p is common to both terms, but one is multiplied by 4 and the other is not, therefore out common denominator is \(4p\).

Answer 8

Same thing for the denominator. \(4p\).

Answer 9

Now we have to multiply both the numerator and denominator of our fractions, \(\dfrac{3}{p}\) and \(\dfrac{4}{p}\) by \(4\).

Answer 10

From there, we get:

numerator: \(\dfrac{1}{4p} - \dfrac{3\cdot 4}{4p} = \dfrac{1-(3\cdot 4)}{4p}\)

denominator: \(\dfrac{1}{4p} +\dfrac{(4\cdot 4)}{4p} = \dfrac{1-(4\cdot 4)}{4p}\)

Now simplify both of those.