while driving a car you realize that you only have one eighth gas remaining before you run out of gas you pull into a gas station and put is gallons of gas in your car's tank is now three fourths full how many gallons of gas does your car's tank hold show or explain how you got your answer.

How many gallons did you put into the tank?

To find the number of gallons of gas your car's tank holds, you need to determine the difference in fuel levels before and after refueling.

Given that initially your car had one-eighth (1/8) of gas remaining and after refueling it became three-fourths (3/4) full, we need to find the difference between these two levels.

Step 1: Calculate the amount of gas you added to the tank:
Amount of gas added = Tank capacity after refueling - Tank capacity before refueling

To perform this calculation, subtract the initial level from the final level:
Amount of gas added = 3/4 - 1/8

Step 2: Simplify the equation:
3/4 - 1/8 = (6/8) - (1/8) = 5/8

Step 3: Convert 5/8 into a decimal:
5/8 = 0.625

Step 4: Since the amount of gas added is 0.625 gallons, you can now calculate the total tank capacity by dividing the added amount by the fraction indicating how full the tank is after refueling.
Total tank capacity = Amount of gas added / (Tank capacity after refueling)

Thus, the total tank capacity can be found by dividing 0.625 by 3/4:
Total tank capacity = 0.625 / (3/4)

Step 5: Divide fractions:
Dividing by a fraction is the same as multiplying by its reciprocal:
Total tank capacity = 0.625 * (4/3)

Step 6: Multiply to find the tank capacity:
Total tank capacity = 0.625 * 4/3 = 2.5/3

Step 7: Simplify the equation:
2.5/3 = 5/6

So, your car's tank capacity is 5/6 of a gallon, or equivalently, 0.8333 gallons.