Depth · one concept from first principles · step 2 of 4
Dividing by a whole number is multiplying by its reciprocal
Three bottles each holding of juice are bought and shared equally among people. How many liters does each person drink?
Depth · one concept from first principles · step 2 of 4
Three bottles each holding of juice are bought and shared equally among people. How many liters does each person drink?
Three bottles of 1 3/5 L each: write the mixed number as 8/5 and multiply by 3.
There is 24/5 L in all.
6.NS.A.1Identify SubproblemsSplitting equally among 7 means dividing by 7, which is the same as multiplying by 1/7.
Each person gets 24/35 L.
5.NF.B.7Analyze The UnitsEach person drinks .
Sharing equally among seven means the total is seven of whatever one person gets, so one share is the total cut into seven equal parts.
Cutting each of the five fifths into seven equal slices makes thirty-five slices in one whole, so a seventh of a fifth is one thirty-fifth.
Dividing by a whole number is the same as taking one of that many equal parts.
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