### Video Transcript

How many gallons are there in 58 quarts?

In this problem, we can see two different units of measurement. We have the quart. This is what the abbreviation qt stands for. And we have the gallon. The problem asks us how many gallons are there in 58 quarts. To answer the question, we need to understand how many quarts there are in one gallon. We know that a quart is a quarter of a gallon. This is where the word quart comes from. And so because each quart is a quarter of a gallon, we know that there are four quarts in one gallon. And we can apply this fact about our two units to solve the problem.

To find out how many gallons there are in 58 quarts, we need to find out how many groups of four there are in 58. In other words, we need to find the answer to 58 divided by four. What number facts do we know that could help us? Well, we know that there are 10 fours in 40. So we could partition 58 into 40 and whatever is left, which is 18. As we’ve just said, we know straightaway that 40 divided by four equals 10. But how many fours are there in 18?

We know four fours make 16. But we’re looking to divide 18 by four. This gives us a remainder of two. Two is half of four. So we can say that there are four and a half fours in 18. Now, if we add our two parts together, we can say how many fours there are in 58. 10 plus four and a half equals 14 and a half. We know 10 fours are 40, four fours are 16. So this would take us to 56. And then half of four is two. So if we add two to 56, we get our total that we’re looking for, which is 58.

We knew that the a quart was a quarter of a gallon. So there were four quarts in one gallon. And to find the number of gallons that there were in 58 quarts, we needed to find out how many groups of four there were in 58. 58 divided by four is 14 and a half. And so, we can say that 58 quarts is equal to 14 and a half gallons.