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If 4/3 divided by 1/6 = p, then the value of p is between which of the following pairs of numbers?

a. 3 and 4
b. 5 and 6
c. 6 and 7
d. 7 and 9

1 Answer

2 votes

Final answer:

Dividing 4/3 by 1/6 and solving for p gives us p = 8, so p is between the numbers 7 and 9.

Step-by-step explanation:

If we have the equation 4/3 divided by 1/6 equals p, we need to find the value of p and then determine which numeric range this value falls between. To divide by a fraction, you multiply by its reciprocal. Therefore, we have:

4/3 × 6/1 = p

By multiplying the numerators and the denominators, we get:

24/3 = p

This simplifies to 8 = p, which means that p is exactly 8.

So, we can conclude that the value of p is between the numbers 7 and 9.

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