Answer:
Answers:
Expression is
whole number = 3
fractional part = 4/19
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Explanation:
Let's convert the mixed number to an improper fraction
Do the same for the other mixed number.
We'll divide those two improper fractions to find the number of pieces
Then let's convert that to a mixed number like so:
Or you could note that 61/19 leads to 3 remainder 4.
The carpenter is able to get 3 whole pieces out, then the extra fractional part is 4/19 of a foot.
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Here's another way to look at it.
Grab a footlong ruler and split it into 4 equal smaller lengths. I'll refer to these smaller pieces as "quarters" from now on.
1 ruler = 4 quarters
15 rulers = 15*4 = 60 quarters
15 rulers + 1 quarter = 60+1 = 61 quarters
So this is another way to see how the mixed number is the same as the improper fraction
The same idea would apply to
The overall entire board is 61 quarters long, and each piece is 19 quarters long. So that means 61/19 = 3 & 4/19 represents the number of pieces we can cut.
Step-by-step explanation: