###### denominator, common denominator, least common denominator, lowest common denominator, how to find least common denominator, finding least common denominator tips, lowest common denominator, denominator worksheets, denominator practice, denominators, denominators worksheets, denominators practice
denominator
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# denominator

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```denominator

The denominator is the number written below the line
of a fraction. E.g. in

3
---
7

the denominator is seven;

in
2
-----
11

the denominator is eleven.

common denominator

Denominator that is a common multiple of, and hence exactly
divisible by, all the denominators of a set of fractions, and
which therefore enables their sums or differences to be found.

For example, 2/3 and 3/4 can both be converted to equivalent
fractions of denominator 12, 2/3 being equal to 8/12 and 3/4 to
9/12. Hence their sum is 17/12 and their difference is 1/12.
The lowest common denominator is the smallest common multiple
of the denominators of a given set of fractions.

Least Common Denominator

The Least Common Denominator (LCD) is the Least Common
Multiple of two or more denominators.

How to find the Least Common Denominator:

Find the Greatest Common Factor of the denominators.
Multiply the denominators together.
Divide the product of the denominators by the Greatest Common
Factor. Example:

Find the LCD of 2/9 and 3/12

Determine the Greatest Common Factor of 9 and 12 which is 3
Either multiply the denominators and divide by the GCF
(9*12=108, 108/3=36)
OR - Divide one of the denominators by the GCF and multiply
the quotient times the other denominator (9/3=3, 3*12=36)
How to rename fractions and use the Least Common Denominator:

Divide the LCD by one denominator.
Multiply the numerator times this quotient.
Repeat the process for the other fraction(s)
Example:

LCD is 36

First fraction (2/9): 36/9 = 4, 4*2 = 8, first fraction is
renamed as 8/36
Second fraction (3/12): 36/12 = 3, 3*3 = 9, second fraction
is renamed as 9/36
It is possible to add or subtract fractions that have the
same denominator

8/36 + 9/36 = 17/36
```

 Number Addition Subtraction Multiplication Division Mixed Operation Decimal Fraction Negative Number Percentage Coordinate Time Equation Geometry Word Problems
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