Question

Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning.

Answer 1

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

`4\text{ quarts}=1\text{ gallon}`

`1\text{ quarts}=(1)/(4)\text{ gallon}`

`6\text{ quarts}=(6)/(4)\text{ gallon}`

Here, 6 quarts is equal to
`(6)/(4)` gallon. It means we need to multiply 6 by 4 in
`4\text{ quarts}=1\text{ gallon}` to find the answer.