Julie writes this problem on her paper.
Unfortunately, Julie can’t remember how to divide mixed numbers. Julie pulls out her math book. You just need to pay attention during this Concept. By the end, you will be able to solve this snake of a problem!!
What about when you divide a mixed number by another mixed number?
This means that you are looking for how many sets, or groups and parts of groups, can be made from another whole and parts. This seems complicated, but if you follow a few simple steps, you can figure it out.
The big difference when you divide a mixed number by another mixed number is that you must change BOTH mixed numbers to improper fractions before solving!!
The first step to dividing a mixed number by another mixed number is to convert both mixed numbers to improper fractions.
Now we can rewrite the problem.
Next, we change the operation to multiplication and multiply by the reciprocal.
Now it’s time to try a few of these on your own. Be sure your answer is in simplest form.
Now back to Julie and the snake comparison.
We can divide the two mixed numbers. These are the lengths of each snake.
It would take 6 garter snakes to equal the length of the one anaconda in Julie’s book.
Julie is amazed. She takes a few minutes to draw the two snakes with their lengths and then writes in her math problem. This will be a nice addition to her project.
Here are the vocabulary words in this Concept.
the answer to a division problem.
Here is one for you to try on your own.
Here is how we can work through this problem.
This is our answer.
Here are videos for review.
Khan Academy Dividing Mixed Numbers
Dividing Mixed Numbers
James Sousa Dividing Mixed Numbers
Directions: Divide each mixed number by mixed number. Be sure your answer is in simplest form.