1. Notes 3.2 Mixed Numbers and Improper Fractions A fraction is a proper fraction if it is less than 1. It is an improper fraction if it is greater than or equal to 1. An improper fraction greater than 1 can be rewritten as a mixed number. Examples: To change 8/5 to a mixed number, divide 8 by 5, then write the remain- der over 5. Reduce the fraction if necessary. 8/5 = 1 3/5.

2. To change 3¾ to an improper fraction, multiply the whole number 3 by the denominator 4, and then add the numerator 3. Finally, put that number over 4, the original denominator. 3¾ = 15/4. To write 3¾ as a decimal, write 3. and then change ¾ to a decimal By dividing the numerator by the denominator. 3¾ = 3.75.

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4. homework answers 6) proper; less than 1 7) Improper; equal to 1 8) Improper; greater than 1 9) Proper; less than 1 11) D 12) A 13) C 14) B 15) 1 5/6 16) 6¾ 17) 3 1/9 18) 4 3/8 19) 16/11 20) 20/7

5. 21) 25/3 22) 21/2 23) 4.25 24) 1.6 25) 9.5 26) 1.15 28) D 29) D 30a) $13.75, $13.875, $13.50, $13.375, $13.25