Question

Estimate the quotient of 9 1/3 ÷ 2 3/4

Answer 1

The estimated quotient is 3. This is because 9 1/3 rounds to nine and 2 3/4 rounds to 3.

Answer 2

The quotient gives: 3 13/33

Explanation:

We start by converting the mixed numbers into improper fractions, since we can easily divide fractions.

the number 9 1/3 can be written as: 27/3 + 1/3 = 28/3

the number 2 3/4 can be written as: 8/4 + 3/4 = 11/4

Now we can divide them using the properties of dividing fractions:

28/3 divided by 11/4 = 28/3 * 4/11 = 112/33

which in mixed number form is : 99/33 + 13/33 = 3 13/33