Notes 3.2 Mixed Numbers and Improper Fractions

A fraction is a proper fraction if it isless than 1. It is an improper fractionif it is greater than or equal to 1. Animproper fraction greater than 1 canbe 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 ifnecessary. 8/5 = 1 3/5.

To change 3¾ to an improper fraction, multiply the whole number3 by the denominator 4, and then add the numerator 3. Finally, putthat number over 4, the originaldenominator. 3¾ = 15/4.

To write 3¾ as a decimal, write 3.and then change ¾ to a decimalBy dividing the numerator by the denominator. 3¾ = 3.75.

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homework answershomework answers

6)6) proper; less than 1proper; less than 1

7)7) Improper; equal to 1Improper; equal to 1

8)8) Improper; greater than 1Improper; greater than 1

9)9) Proper; less than 1Proper; less than 1

11)11) D D 12)12) A A 13)13) C C 14)14) B B

15)15) 1 5/6 1 5/6 16)16) 6¾ 6¾ 17)17) 3 1/9 3 1/9

18)18) 4 3/8 4 3/8 19) 19) 16/11 16/11 20)20) 20/7 20/7

21)21) 25/3 25/3 22)22) 21/2 21/2 23)23) 4.25 4.25

24)24) 1.6 1.6 25)25) 9.5 9.5 26)26) 1.15 1.15

28)28) D D 29)29) D D

30a)30a) $13.75, $13.875, $13.50, $13.75, $13.875, $13.50, $13.375, $13.25 $13.375, $13.25