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Finding the LCM

- Rule 6-1
- To find the lowest common multiple of numbers

containing literal numbers - factor each term
- determine the maximum number of times a prime

factor appears in any one term - multiply the resulting prime factors found in

step 2. This number is the LCM.

Multiplication with Literal Numbers

- Key Point
- In multiplication, all the literal numbers

contained in the multiplicand and the multiplier

must appear in the product unless the exponent is

zero.

Multiplying Fractions

- Key Point
- To multiply fractions, we
- Cancel factors that are common to both numerators

and denominators. - Multiply the remaining numerators (their product

is the numerator of the answer). - Multiply the remaining denominators (their

product is the denominator of the answer).

Adding and Subtracting Fractions

- Rule 6-2
- To add (or subtract) fractions with unlike

denominators - find the CD.
- Change the denominator of all fractions to this

denominator. - Divide the CD by the old denominator of each

fraction

Adding and Subtracting Fractions (cont.)

- Then multiply this number by the old numerator to

find the new numerator of the fraction. - Add (or subtract) the fractions, combining all

like terms in the numerator. - Reduce the answer to the lowest terms.

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