Category:Common Denominators
Jump to navigation
Jump to search
This category contains results about Common Denominators.
Definitions specific to this category can be found in Definitions/Common Denominators.
Consider the expression:
- $\dfrac a b + \dfrac c d$
where $a$, $b$, $c$ and $d$ are any expressions whatsoever which evaluate to a number such that neither $c$ nor $d$ evaluate to zero.
In order to be able to perform the required addition, it is necessary to put the expressions $\dfrac a b$ and $\dfrac c d$ over a common denominator.
Hence the operation is:
- to multiply both the numerator (top) and denominator (bottom) of $\dfrac a b$ by $d$
and in the same operation:
- to multiply both the numerator (top) and denominator (bottom) of $\dfrac c d$ by $b$
in order to obtain the expression:
- $\dfrac {a d} {b d} + \dfrac {b c} {b d}$
Hence one may perform the operation as:
- $\dfrac {a d + b c} {b d}$
and either evaluate or simplify appropriately.
Subcategories
This category has the following 2 subcategories, out of 2 total.
E
L
- Lowest Common Denominator (empty)