Question

Need to know how to get the answer in reduced form.

Answer 1

Step-by-step explanation

We must solve this divition and write it in reduce form:

`(7)/(18)/(9)/(2)=`

Remember that dividing by a fraction is equivalent to multiplying its inverse:

`(7)/(18)/(9)/(2)=(7)/(18)\cdot(2)/(9)`

Now we can multiply both numerators and denominators separately:

`(7)/(18)\cdot(2)/(9)=(7\cdot2)/(18\cdot9)=(14)/(162)`

We can simplify that fraction. We can divide both the numerator and the denominator by 2:

`(14/2)/(162/2)=(7)/(81)`

7/81 can't be simplified since 7 is a prime number so this is a fraction in reduced form.

Answer

Then the answer is:

`(7)/(81)`