I Name _ Reteaching 11-9 Dividing Whole Numbers by Unit Fractions How can you divide a whole number by a fraction? Think: How can I divide two into one-thirds? 2-:-1 .3 1. Two is the sum of one plus one. 2 - + 1 Il\ 2. Each one is the sum of three one-thirds. 1 Il\ 1+1+1 + 1+1+1 333 333 3. Count the number of one-thirds. 6 Check To divide a whole number by a fraction, multiply the whole number by the reciprocal of the fraction. 2-:-1=2X~=gx~=§=6 .3 111 1 3~~ . 4 Think: How can I divide three into three- fourths? 1. Three is the sum of one plus one plus one. 2. Each one is the sum of one three-fourths and one one-fourth. 3= 1 + 1\ ~+~ 1\ + ~+~ Check Multiply the whole number by the reciprocal of the fraction. + ~+~ + 1+1+1 ~+~+~ + 444 1 1\ ~+~+~ 444 3. Count the number of three-fourths. + 1 444 3 4 4 3 -:- ~ = 3 x i = ~ x 1. = 12 = 4 4 3 1 3 3 Draw a picture that shows each division and write the answer. 1• 2~1 . 2 2• 2~.l . 3 .• Copyright e Pearson Education. Inc. or its affiliates. All Rights Reserved. 5
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