Question

A). Describe the mixed numbers that come between 3 and 4 on the number line.

Answer 1

Part A)

A mixed number is in the form $W \frac{p}{q}$ where W is any whole number part. The p and q are also whole numbers, which when combined together, form the fractional part p/q

To have a mixed number between 3 and 4, we must make the whole part W equal to 3. The p and q can be anything you want as long as p is smaller than q, this is so p/q is a fraction smaller than 1. So for example, we could have p = 2 and q = 7. So the mixed number $3 \frac{2}{7}$ is one example of a value between 3 and 4.

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Part B)

This seems to be asking the same exact thing as part A. I'll give another example. The mixed number $3 \frac{4}{9}$ is between 3 and 4. Again notice the whole part is W = 3. The other two pieces are p = 4 and q = 9. We have p smaller than q.

Answer 2

Part A because of the numbers that are between