Question

What fraction of 150 gallons is 189 l? Give your answer in simplest form. 1 gallon = 4.5 l.

Answer 1

`(25)/(7)`

Explanation:

Given:

1 gallon = 4.5 liters

Question asked:

What fraction of 150 gallons is 189 liters ?

Solution:

First of all we will convert gallons to liters:-

1 gallon = 4.5 liters

150 gallons = 4.5
`*` 150 = 675 liters

Now, to know the fraction :-

675 gallons
`/` 189 liters

`=(675)/(189) \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 9\\ \\ =(75)/(21) \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 3\\ \\ =(25)/(7)`

Therefore, 150 gallons (675 liters) is
`(25)/(7)` of 189 liters.