January 13, 2014
Least/Lowest Common Multiple
A multiple is the product of a number and another whole number.
The Least/Lowest Common Multiple is the smallest
shared multiple between two or more expressions.
To find the Lowest Common Multiple (LCM) between two expressions:
A)
6 and 16
B)
6a2b and 18a3
January 13, 2014
Find the LCM between:
40x12g3h
and
60x4d2h5
January 13, 2014
Adding and Subtracting Fractions
You must have a common denominator to add and subtract fractions.
Use the Least Common Multiple procedure to obtain the Lowest
Common Denominator (LCD) for the group of fractions.
1) Obtain the Lowest Common Denominator
2) Rewrite the +/- expression using the vertical column
method. Make equivalent fractions!!!
7
3
−
12
8
The factor that multiplied
the denominator must also
multiply the numerator to
make an equivalent
fraction!!
3) Borrow a whole number as necessary!
4) Leave your answer in lowest terms!
January 13, 2014
When adding and subtracting mixed numbers,
DO NOT change them into improper fractions.
January 13, 2014
January 13, 2014
When adding and subtracting mixed numbers,
DO NOT change them into improper fractions.
When adding and subtracting positive and negative
fractions,
You Must Remember Your +/- Rules For Signed Numbers!!!
Ex 1:
January 13, 2014
Ex 2:
Ex 3:
January 13, 2014
January 13, 2014
Adding and Subtracting
Fractions with Variables
January 13, 2014
January 13, 2014
January 13, 2014
January 13, 2014
January 13, 2014
January 13, 2014
Changing Fractions into Decimals
Divide the numerator by the denominator
If the decimal portion repeats, place a line over
the digit or block of digits that repeat.
The number of digits that repeat is called the
period of the decimal.
January 13, 2014
If the decimal portion repeats, place a line over
the digit or block of digits that repeat.
The number of digits that repeat is called the
period of the decimal.
January 13, 2014
January 13, 2014
January 13, 2014
January 13, 2014