Dan's motorcycle tank holds 6 1/2 gallons of gas. There are 3 5/8 gallons of gas currently in the tank. How much more gasoline will it take to fill the tank? (Simplify your answer and write it as a mixed number.)

2 7/8

Explanation:

First, you need to change the mixed fraction to an improper fraction, you will get the question like this :

Dan's motorcycle tank holds 13/2 gallons of gas. There are 29/8  gallons of gas currently in the tank.

This question shows that you need to do subtraction. which means you need to make both fractions have the same denominator.

you could see that 29/8 can not divide by 4 to much the 13/2 because the numerator, so you will make 13/2 time by 4 to much the denominator to 8.

Then you will get 52/8 and 29/8.

Finally, you use 52/8 minus 29/8, you will get the number 23/8.

Change it to a mixed number, you will get 2 7/8.

I wish this could help you.

I have a question to ask you, is this an SAT and high school problem?

2 7/8

Explanation:

You have to subtract the two numbers to find how much more gas you need to fill the tank.

First, subtract the 6 and 3, getting 3. You then have to subtract the 1/2 and 5/8, meaning the denominators have to be the same to be able to subtract them. So you make the 1/2 to 4/8 by multiplying 4/4 to the numerator and the denominator. You keep the 5/8 because now both fractions have the same denominator. So then you subtract 4/8 and 5/8 which is -1/8.

But we still have the 3, which you can take the -1/8 from, getting 2 and 7/8 because 8/8 is the same as a whole.

Hope this was helpful and let me know if it could be clearer!