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

Answer 1

To divide fractions, we need to multiply by the reciprocal.

2 1/6 ÷ 1 1/3 can be written as (2 + 1/6) ÷ (1 + 1/3).

To find the reciprocal, we flip the second fraction and change the division sign to multiplication:

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

Now let's simplify each fraction:

= (13/6) * (3/4)

Multiplying the numerators and denominators:

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

Now we can simplify this fraction.

Dividing the numerator and denominator by the greatest common divisor, which is 3:

= 13/8

So, the quotient of 2 1/6 ÷ 1 1/3 is 13/8.