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copyright©amberpasillas2010 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 = numerator 4 = 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. 5 = 5, 10, 15, 20, 25, 30 6 = 6, 12, 18, 24, 30, 36 copyright©amberpasillas2010 To Add or Subtract Fractions With Unlike Denominators List the multiples of each denominator to find the LCM. 1 5 = 5, 10, 15, 20, 25, 30 1 + 10 = 10, 20, 30, 40, 50 copyright©amberpasillas2010 To Add or Subtract Fractions With Unlike Denominators Compare your lists. Which multiples do 5 and 10 have in common? 1 5 = 5, 10, 15, 20, 25, 30 1 + 10 = 10, 20, 30, 40, 50 copyright©amberpasillas2010 To Add or Subtract Fractions With Unlike Denominators This number is also called the least common denominator. 1 5 = 5, 10, 15, 20, 25, 30 1 + 10 = 10, 20, 30, 40, 50 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. 1 5 1 + 10 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. 1 5 1 +10 10 10 copyright©amberpasillas2010 Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator. 1 5 1 +10 10 1 10 You know that 1/10 is equal to 1/10 so Put a 1 over the Denominator of 10. copyright©amberpasillas2010 Find the equivalent fractions for 1/5 & 1/10 with 10 as the denominator. 1 5 1 +10 10 1 10 To find the top number, ask yourself what do you multiply the 5 by to get 10. copyright©amberpasillas2010 Now just add the numerators. 1 x 2 =2 5 x 2 10 1 1 +10 10 Remember when adding fractions you never add the denominators. 3 copyright©amberpasillas2010 Identity Property states that any number multiplied by one equals itself n 1 n 2 3 2 4 2 6 This is useful to know so you can find a common denominator for adding and subtracting fractions. copyright©amberpasillas2010 1 2 -1 +8 8 8 Find a Least Common Denominator (LCD). copyright©amberpasillas2010 1x 4 = 4 2x 4 = 8 -1x 1 = -1 + 8x 1 = 8 Now fill in your Giant Ones. copyright©amberpasillas2010 1x 4 = 4 2x 4 = 8 -1x 1 = -1 + 8x 1 = 8 3 8 Add numerators. The denominator stays the same. copyright©amberpasillas2010 -2 5 1 +3 15 What is a good denominator? 15 copyright©amberpasillas2010 -2 5 x 3 = 15 1 + 3 x 5 =15 Ask yourself what do you multiply the denominator by to get 15. copyright©amberpasillas2010 -2 x 3 = -6 5 x 3 = 15 1x 5 = 5 + 3 x 5 =15 Fill in your Giant Ones. copyright©amberpasillas2010 -2 x 3 = -6 5 x 3 = 15 1x 5 = 5 + 3 x 5 =15 -1 15 Add the numerators. The denominator stays the same. copyright©amberpasillas2010 -1 x 2 = -2 6 x 2 = 12 1x 3 =3 + 4 x 3 =12 1 12 copyright©amberpasillas2010 5 x 4 = 20 6 x 4 = 24 1x 3 =3 - 8 x 3 =24 17 24 copyright©amberpasillas2010 -2x 3 = -6 3x 3 = 9 1x 1 =1 - 9x 1 =9 -7 9 copyright©amberpasillas2010 -6 – 1 = -6 + -1 = -2 x 2 = -4 4x 2 = 8 2x 1 =2 + 8x 1 =8 -2 8 -4 + 2 = -2 = copyright©amberpasillas2010 -1 4 -4 x 3 = -12 5 x 3 = 15 -12 – -10 = -2 x 5 = -10 -12 + +10 = 15 x 5 = -3 -2 15 copyright©amberpasillas2010 REMEMBER: To Always Show Your Work and The Giant One! Take out your study guide!!! copyright©amberpasillas2010 #23 4x3= 5x3= -2 x 5 = +3 x5= Add Fractions 12 15 -10 15 2 15 1) Find a common denominator. 2) Add the numerators. 3) Keep the common denominator the same. 4) Simplify or reduce. Change improper fractions to mixed #s. copyright©amberpasillas2010 Add & Subtract Negative Fractions #24 -2 x 2 = -4 6 x 2 = 12 3x 3 =9 + 4 x 3 =12 5 12 -4 x 2 = -8 5 x 2 = 10 1x 1 = 1 - 10 x 1 = 10 -8 – 1 = -9 -8 + -1 = -9 10 Extras copyright©amberpasillas2010 4 x 3 = 12 5 x 3 = 15 2 x 5 = 10 + 3 x 5 = 15 22 15 copyright©amberpasillas2010 Simplify Your Answer 22 15 1 7 15 15) 22 15 7 ALWAYS SIMPLIFY YOUR ANSWER IF YOUR ANSWER IS AN IMPROPER FRACTION! copyright©amberpasillas2010 -2x 3 = -6 3x 3 = 9 1x 1 =1 - 9x 1 =9 -7 9 copyright©amberpasillas2010 -6 – 1 = -6 + -1 = -6 + -1 = -7