Question

There is 1/4 gallon of water in a 2 gallon container. What fraction of the container is filled?

1. Write a multiplication equation and a division equation to represent the situation.

Answer 1

2/(1/4) = 8 1/4th gallons to fill the container and 1/8 * x = 8/8 (x=8) times you can fill the tank with 1/4th gallon

Explanation:

First let's answer the first part of the question: what fraction of the container is filled?

If there is 1/4 a gallon of water in the container which holds 2 gallons, we can show this by adding 0/4 to 1/4 to get 1/8 as the fraction of the container filled. (Or just double the denominator for both gallons instead of 1)

To represent this with a multiplication equation, we will take the holding of the container which is 2 gallons

1/8 times x = how many times you can fill the container with 1/4 gallon of water (which is 8 total)

and then our division which is

2 divided by 1/4 = how many shares of water can fit in the container

I hope this helps :)