What does it mean to divide a number by
a fraction (e. g., ¾)?

You can divide a number by a fraction by flipping over the fraction and multiplying them together.

Step-by-step explanation:

For example:

Lets say we wanted to divide 8 by 3/4

8÷

Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)

8 ·

Now, just multiply and reduce/simplify the fraction if needed

Final answer is , no need to simplify or reduce

Hope that helps!!