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

1 Answer

4 votes

Answer:


\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)}

User Dewasish Mitruka
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