Question

If Tucson's average rainfall is 12 3/4 inches and Yuma's is 3 4/5. How much more rain, on the average, does Tucson get than Yuma?

Answer 1

`8(19)/(20)` in.

Explanation:

To find your answer, subtract.

`12(3)/(4)` may be rewritten as
`(51)/(4)` and
`3(4)/(5)` may be rewritten as
`(19)/(5)`

Establish a common denominator, which would be the lowest common multiple of 4 and 5, which is 20. Multiply both parts of your first fraction by 5 to get a denominator of 20, and both parts of your second fraction by 4 to get a denominator of 20.

`(51)/(4) *(5)/(5) =(255)/(20)`

and

`(19)/(5) *(4)/(4) =(76)/(20)`

Subtract.

`(255)/(20) -(76)/(20) =(179)/(20)`

This fraction may be rewritten as
`8(19)/(20)`.

Answer 2

`8(19)/(20)` inches.

Explanation:

Average rainfall of Tucson =
`12(3)/(4)` inches

or
`(51)/(4)` inches

Average rainfall of Yuma = [tex3\frac{4}{5}[/tex] inches

or
`(19)/(5)` inches

Now we have to find the fifference of average rainfall in Tucson as compared to Yuma.

Difference =
`(51)/(4)` -
`(19)/(5)`

=
`(255-76)/(20)`

=
`(179)/(20)`

=
`8(19)/(20)` inches.