__Multiples__** ****think skip counting**

__Multiples__

## if a number is a __multiple__ of another number,

it is also __divisible__ by that number.

__multiple__

__divisible__**15**is a

*of 3 skip count >>> 0, 3, 6, 9, 12,*

__multiple__**15**

**15**is

**by 3**

__divisible__**15**divided by 3 is 5

**---------------------------------------------------------------**

__least common multiple - lcm__

__least common multiple - lcm__**---------------------------------------------------------------**

## check out the video!

the 2nd way of finding the __LCM __is very interesting but not the way we teach it. we use the 1st way and *the Ladder method* which is also on my web site.

__LCM__

*the Ladder method***---------------------------------------------------------------**

## use the *lcm* to rename the denominator

when working with **unlike fractions.**

*lcm*

**unlike fractions.**Adding halves and fourths does not work because they are not the same unit.

That's like trying to add apples and oranges--impossible!

We would have to rename them as fruit:

1 apple plus 1 orange = 2

That's like trying to add apples and oranges--impossible!

We would have to rename them as fruit:

1 apple plus 1 orange = 2

__fruits__## use the __lcm__ to rename a new **common denominator**

__lcm__

**common denominator****---------------------------------------------------------------**

5 -- we can't work with unlike fractions212 9 use of LCM36 as new denominator >>>>>>> = 5 x 3 12 x15 what makes 36? 312 3 36 whatever u do to the bottom , u do to the top multiply both by 32 x 4 = 9 x 8_what makes 36? 49 4 36 whatever u do to the bottom, u do to the topmultiply both by 4 -- 15 8 = 7subtract the numerators36 36 of the renamed fractions36 |