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Parts of a Fraction 3 4 = the number of parts = the total number of parts that equal a whole copyright©amberpasillas2010

Parts of a Fraction 3 4 = numerator = denominator copyright©amberpasillas2010

A Common Multiple is a number that is a multiple of two or more numbers. Some multiples of 3 & 6 6, 12, 18, 24, 30, 36, 42 copyright©amberpasillas2010

The LCM is the smallest multiple that two numbers have in common. 6 = 6, 12, 18, 24, 30, 36 5 = 5, 10, 15, 20, 25, 30 copyright©amberpasillas2010

List the multiples of each denominator to find the LCM. 1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, To Add or Subtract Fractions With Unlike Denominators copyright©amberpasillas2010

1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, To Add or Subtract Fractions With Unlike Denominators Compare your lists. Which multiples do 5 and 10 have in common? copyright©amberpasillas2010

1 = 5, 10, 15, 20, 25, 30 1 = 10, 20, 30, 40, To Add or Subtract Fractions With Unlike Denominators This number is also called the least common denominator. copyright©amberpasillas2010

SHORTCUT : Check to see if the smaller denominator divides evenly into the larger denominator. If it does, use the larger denominator for your LCD or LCM. 5 will divide evenly into 10, so 10 is your denominator. copyright©amberpasillas2010

Rewrite the fractions using the least common denominator or least common multiple copyright©amberpasillas2010

Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator You know that 1/10 is equal to 1/10 so Put a 1 over the Denominator of copyright©amberpasillas2010

Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator To find the top number, ask yourself what do you multiply the 5 by to get 10. copyright©amberpasillas2010

x 2 x 2 = 2 Now just add the numerators. Remember when adding fractions you never add the denominators copyright©amberpasillas2010

Identity Property states that any number multiplied by one equals itself This is useful to know so you can find a common denominator for adding and subtracting fractions.

copyright©amberpasillas Find a Least Common Denominator (LCD). 8 8

copyright©amberpasillas Now fill in your Giant Ones. 8 8 x 1 = x 4 = 4 x 1 = -1

copyright©amberpasillas Add numerators. The denominator stays the same. 8 8 x 1 = x 4 = 4 x 1 = 3 8

copyright©amberpasillas What is a good denominator? 15

copyright©amberpasillas Ask yourself what do you multiply the denominator by to get x 5 = x 3 =

copyright©amberpasillas Fill in your Giant Ones. 15 x 5 = x 3 = -6 x 5 = 5

copyright©amberpasillas x 5 = x 3 = -6 x 5 = 5 Add the numerators. The denominator stays the same. 15

copyright©amberpasillas x 3 = x 2 = x 3 = x 2 =

copyright©amberpasillas x 3 = x 4 = x 3 = x 4 =

copyright©amberpasillas x 1 = x 3 = x 1 = x 3 = – 1 = =

copyright©amberpasillas x 1 = x 2 = x 1 = x 2 = = 4 = -2

copyright©amberpasillas x 5 = x 3 = x 5 = x 3 = – -10 = =

REMEMBER: To Always Show Your Work and The Giant One! Take out your study guide!!! copyright©amberpasillas2010

Add Fractions x 5 = x 3 = x 5 = x 3 = )Find a common denominator. 2) Add the numerators. 3) Keep the common denominator the same. #23 4) Simplify or reduce. Change improper fractions to mixed #s.

Add & Subtract Negative Fractions Add & Subtract Negative Fractions x 3 = x 2 = x 3 = x 2 = # x 1 = x 2 = x 1 = x 2 = – 1 = = - -9

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x 5 = x 3 = x 5 = x 3 = copyright©amberpasillas2010

) Simplify Your Answer ALWAYS SIMPLIFY YOUR ANSWER IF YOUR ANSWER IS AN IMPROPER FRACTION! copyright©amberpasillas2010

x 1 = x 3 = x 1 = x 3 = – 1 = = = -7 copyright©amberpasillas2010