What is the quotient of 2 1/6÷1 1/3 ? Simplify the answer, if possible.(1 point)

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1 answer

To find the quotient of 2 1/6 ÷ 1 1/3, we first need to convert the mixed numbers into improper fractions.

2 1/6 = (2 * 6 + 1)/6 = 13/6
1 1/3 = (1 * 3 + 1)/3 = 4/3

Now, we can divide 13/6 by 4/3:

(13/6) ÷ (4/3) = (13/6) * (3/4)
= (13 * 3) / (6 * 4)
= 39/24

The quotient is 39/24, but it can be simplified further. By dividing both the numerator and denominator by the greatest common divisor (which is 3), we get:

= (39/3) / (24/3)
= 13/8

Therefore, the simplified quotient is 13/8.
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