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,

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

$1\text{ quarts}=\dfrac{1}{4}\text{ gallon}$

$6\text{ quarts}=\dfrac{6}{4}\text{ gallon}$

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