The indicator on my gas gauge goes from 3/8 full to 3/4 full when I put 6 gallons of gas into the tank. How many gallons of gas does the tank hold when it is full?

ty!

To find out how many gallons the tank holds when it is full, we need to determine the change in gallons for each 1/8 of the tank.

First, let's calculate the change in gallons between 3/8 full and 3/4 full. This is a difference of 3/4 - 3/8 = 6/8 - 3/8 = 3/8 of the tank.

Since this difference corresponds to 6 gallons, we divide 6 by 3/8 to find the number of gallons for each 1/8 of the tank:
(6 gallons) ÷ (3/8) = (6 gallons) × (8/3) = 16 gallons

Therefore, each 1/8 of the tank represents 16 gallons. And since there are 8 equal parts (1/8) in a full tank, the tank holds:
16 gallons * 8 parts = 128 gallons

Thus, the tank holds 128 gallons when it is full.

6 / (3/4 - 3/8) = ?