Question

In the case of unlike denominators, common denominators must be
created through multiplication by finding the least common multiple.
true or false

Answer 1

Answer:

True

Step-by-step explanation:

You could use any common multiple, but using the least common multiple is easier and faster, which is why it is usually recommended. For example:

$\frac{1}{4} +\frac{2}{3}$

In order to add, you need to find the least common multiple, which would be 12. (and you can't forget, what you do to the bottom, you must do to the top as well)

$\frac{(3)1}{(3)4} +\frac{(4)2}{(4)3} \\\\\frac{3}{12} +\frac{8}{12}\\\\\frac{11}{12} =\frac{1}{4} +\frac{2}{3}$

However, this is only necessary with addition and subtraction, not multiplication or division.

Answer 2

True, in order to solve a fraction it must have a common denominator, to find this you have to find the least common denominator.