Question

2 1/6 divided by 21/2

Answer 1

`(1)/(3)`

Explanation:

I'll assume it is
`(21)/(6)`÷
`(21)/(2)`

Not so sure if it is that or in mixed form

The division sign will become multiplication sign when two becomes the numerator and 21 becomes the denominator

`(21)/(6)`×
`(2)/(21)`

21 will cancel out leaving
`(2)/(6)`

=
`(1)/(3)`

Answer 2

Change the mixed numbers into an improper fraction:

`2\frac16 / 2\frac12=(2 * 6+1)/(6)/ (2 * 2+1)/(2)=(13)/(6)/ (5)/(2)`

Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. (Reciprocal is when you swap the numerator and denominator). Therefore,

`(13)/(6)/ (5)/(2)=(13)/(6)*(2)/(5)`

Now we simply multiply the numerators and the denominators:

`(13)/(6)*(2)/(5)=(13 * 2)/(6* 5)=(26)/(30)`

We can now reduce the fraction to its simplest form by dividing the numerator and denominator by 2:

`(26)/(30)=(26/ 2)/(30 / 2)=(13)/(15)`