Question

8 gal to 9 1/3 gal write ratio in lowest form with whole numbers in numerator and denominator

Answer 1

`\bold{(6)/(7)}`

Explanation:

Given ratio is:

8 gal to
`9\frac{1}3` gal

To find:

Ratio in Lowest form with whole numbers in numerator and denominator.

Solution:

First of all, let us convert
`9\frac{1}3` to simple
`(p)/(q)` form:

Formula:

`a(b)/(c) = \frac{a* c+b}c`

Using the formula, we get:

`9(1)/(3) = (9* 3+1)/(3) = (28)/(3)`

Now, let us have a look at the ratio:

`8 : (28)/(3)`

Any ratio,
`p:q` can be written as
`(p)/(q)`.

Writing given ratio as per above:

`(8)/((28)/(3))\\\Rightarrow (8 * 3)/(28)\\\Rightarrow (2* 3)/(7)\\\Rightarrow \bold{(6)/(7)}`

Therefore, the answer is

`\bold{(6)/(7)}`