Envision Math 2.0: Grade 6, Volume 1
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Envision Math 2.0: Grade 6, Volume 1 View details
6. Divide Mixed Numbers
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Exercise 3 Page 46

Divide the length of the bumper by the length of a long sticker. If the answer is not a whole number, there will be uncovered space.

How Many Long Stickers Can Damon Fit? 2
Will There Be Uncovered Space? Yes, see solution.

Practice makes perfect

We were told that Damon has 37 12 inches space on his car bumper for stickers. We want to find out how many long stickers — which are 15 inches long each — can fit side by side on the bumper. Also, we need to find if there will be any uncovered space.

To do that, we need to find the following quotient. 37 12Ă· 15First, let's make an estimation. The number 37 12 is close to 40 and 15 is close to 20. Let's use these numbers to estimate the quotient. 40Ă· 20=2 We found that the answer should be equal to about 2. To find the actual quotient, we will start by writing the mixed number as a fraction.
37 12Ă· 15
37* 2+1/2Ă· 15
74+1/2Ă· 15
75/2Ă· 15
75/2Ă· 15/1
Next, to divide by a fraction, we can multiply by its reciprocal. 75/2Ă· 15/1 =75/2*1/15 Let's multiply the fractions!
75/2* 1/15
75* 1/2* 15
75/30
Finally, let's write this fraction as a mixed number.
75/30
60+15/30
60/30+15/30
â–Ľ
Write fraction as a mixed number
2+15/30
2+15Ă· 15/30Ă· 15
2+1/2
2 12
We found that 2 12 long stickers can fit on Damon's car bumper. It would not make sense to put a fraction of a sticker on the bumper, so we can conclude that only 2 long stickers will fit on the bumper. There will be an uncovered space about half the size of a long sticker.