Question

What is the quotient of this equation

Answer 1

30

Explanation:

First Convert Mixed Number to Improper

`6(2)/(3) = (2+3*6)/(3) = (2+18)/(3) = (20)/(3)\\\\(20)/(3) / (2)/(9)\\`

Next, we know that when dividing fractions, there is a certain pattern to follow.

It goes like this:

`(a)/(b) / (c)/(d) = (a)/(b) * (d)/(c) = (ad)/(bc)\\\\`

A simple way to remember this is to know

KOR.

Keep, Opposite, Reciprocal

Keep:

`(a)/(b)`

Opposite:

`/ \rightarrow *`

Reciprocal:

Basically Flip the Numerator and Denominator

`(c)/(d)\rightarrow(d)/(c)`

And you can simply solve it then :)

WORK FOR SOLUTION

`(20)/(3)*(9)/(2) \\\\(180)/(6)\\\\\ =30`

Answer 2

Hello! the answer to this question is 30.

Explanation:

To solve for the quotient, we have to convert the mixed number to an improper fraction:

`6(2)/(3) = (6*3 + 2)/(3) = (20)/(3)`

When dividing fractions, we have to flip the divisor to its reciprocal. When doing so, the divisor
`(2)/(9)` becomes
`(9)/(2)`.

Now that we have the reciprocal, the operation will change from division to multiplication. We can take the final steps to solve the problem:

`(20)/(3) * (9)/(2)`

This leaves you with a result
`(180)/(6)`. This can further be simplified by doing 180 ÷ 6 to get 30.

Therefore, the quotient is 30.