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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: