Question

Explain how to estimate the quotient using compatible numbers.

27 2/3 divided by 3 9/10

Answer 1

~7

Explanation:

We can estimate 27 2/3 to be 28 because it is only 1/3 away from a whole number. Similarly, we can estimate 3 9/10 to be 4 because it is only 1/10 away from a whole number. Dividing the two, we get:

(27 2/3)/(3 9/10) = ~28/4 = ~7

We can estimate that the quotient of (27 2/3)/(3 9/10) will be about 7.

I hope this helps! :)