Respuesta :

Answer:

[tex]\frac{25}{7}[/tex]

Step-by-step 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 [tex]\times[/tex] 150 = 675 liters

Now, to know the fraction :-

675 gallons [tex]\div[/tex] 189 liters

[tex]=\frac{675}{189} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 9\\ \\ =\frac{75}{21} \\ \\ Dividng\ both\ numerator\ and\ denominator\ by\ 3\\ \\ =\frac{25}{7}[/tex]

Therefore, 150 gallons (675 liters)  is [tex]\frac{25}{7}[/tex] of 189 liters.