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What is the quotient of this equation

What is the quotient of this equation-example-1
User Sierrodc
by
7.8k points

2 Answers

1 vote

Answer:

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

User GPrimola
by
7.5k points
5 votes

Answer:

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.

User Abhishekgarg
by
8.6k points

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