LEAST COMMON DENOMINATOR

MATH
before we begin let's get in some relevant Hebrew vocabulary so that we are advancing our Hebraic education in every circumstance

Numerator
MoNeH מונה

Denominator 
M2aNeH מכנה

The denominator is the bottom number in a fraction.

It shows how many equal parts the item is divided into

You can't add fractions with different denominators:

So what do you do? How can they be added?

Answer: You need to make the denominators the same.


Here are the steps to follow:

STEP 1. Find the Least Common Multiple of the denominators (which is called the Least Common Denominator).
STEP 2. Change each fraction (using equivalent fractions) to make their denominators the same as the least common denominator. (Involves multiplying the top and bottom numbers).
STEP 3. Then add (or subtract) the fractions, as you wish!

Example: What is 1/6 + 7/15 ?

The Denominators are 6 and 15:

multiples of 6: 6, 12, 18, 24, 30, 36, ...
multiples 15: 15, 30, 45, 60, ...

***So the Least Common Multiple of 6 and 15 is 30.

Now let's try to make the denominators the same.

Note: what you do to the bottom of the fraction,
you must also do to the top

***When you multiply 6 × 5 you get 30, and when you multiply 15 × 2 you also get 30:

***Now we can do the addition by adding the top numbers:

5/30 + 14/30 = 19/30

The fraction is already as simple as it can be, so that is the answer.