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2-5 Improper Fractions & Mixed Numbers proper fraction A proper fraction has a numerator that is less than its denominator. 1 2 3 8 3 4 improper fraction An improper fraction has a numerator that is more than or equal to its denominator. 11 2 33 8 5 4 What is the improper fraction? Don’t write, just figure it out = 15 4 What is the improper fraction? Don’t write, just figure it out = 19 4 What is the improper fraction? Don’t write, just figure it out = 11 2 Mixed number A mixed number shows the sum of a whole number and a proper fraction. 1 1 2 3 2 8 3 3 4 What is the mixed number? Don’t write, just figure it out 3 = 3 4 What is the mixed number? Don’t write, just figure it out 3 = 4 4 What is the mixed number? Don’t write, just figure it out 1 = 5 2 Ex: Mixed number and improper fraction equal each other Don’t write, just figure it out 1 = 5 2 11 = 2 How to change an improper fraction to a mixed number Divide the numerator by the denominator. Put your remainder over the denominator. Convert Improper Fractions to Mixed Numbers 2 13 55 = 3 5 33 3 2 Improper Fraction Divide 2 =1 3 Mixed Number Change this improper fraction to a mixed number. 7 3 2 r1 = 3) 7 Put your remainder over the denominator. 1 = 2 3 Change this improper fraction to a mixed number. 8 3 2 r2 = 3) 8 Put your remainder over the denominator. 2 = 2 3 Go to page 78 How to change a mixed number to an improper fraction Multiply the whole number times the denominator. Add your answer to the numerator. Put your new number over the denominator. Convert Mixed Numbers to Improper Fractions 2 4 3 FIRST multiply denominator by the whole number How many thirds are in the whole number? 3 x 4 = 12 3x4 12 + 2 NEXT 2 4 3 add the product to the numerator PLUS how many thirds are in the fraction? 12 + 2 = 14 LAST The sum is the numerator Keep the same denominator 14 3 How to change a mixed number to an improper fraction Multiply the whole number times the denominator. Add your answer to the numerator. Put your new number over the denominator. +1 4x = 2 9 2 Change this mixed number to an improper fraction Multiply the whole number times the denominator. Add your answer to the numerator. Put your new number over the denominator. +2 20 6x = 3 3 Go to page 77 Change this improper fraction to a mixed number. 9 2 4 r1 = 2) 9 Put your remainder over the denominator. 1 = 4 2 Change this improper fraction to a mixed number. 2 r 1 11 = 5 ) 11 5 1 Put your remainder over = 2 5 the denominator. Change this improper fraction to a mixed number. 2 10 = 5 ) 10 5 If there is no remainder your answer is a whole number. = 2 Change this improper fraction to a mixed number. 4 16 = 4 ) 16 4 If there is no remainder your answer is a whole number. = 4 Go to page 78 Change this mixed number to an improper fraction Multiply the whole number times the denominator. Add your answer to the numerator. Put your new number over the denominator. + 2 17 3x = 5 5 Change this mixed number to an improper fraction Multiply the whole number times the denominator. Add your answer to the numerator. Put your new number over the denominator. + 3 19 4x = 4 4 Change this mixed number to an improper fraction Multiply the whole number times the denominator. Add your answer to the numerator. Put your new number over the denominator. + 2 20 6x = 3 3 Change this mixed number to an improper fraction Multiply the whole number times the denominator. Add your answer to the numerator. Put your new number over the denominator. + 3 43 8x = 5 5 Homework Time Pg 93 2-32 even (20-32 show work)