Dividing Mixed Numbers (As Improper Fractions)
Aligned To Common Core Standard:
Grade 5 Fractions - 5.NF.B.7b
How do you Divide Mixed Numbers? The concept of division is the same; either you are dividing mixed numbers, proper fraction, improper fraction or whole numbers. The only difference that makes the division process a little bit complicated or different is that of the numbers that are being divided. The process of diving mixed numbers is very similar to that of multiplying them. Below mentioned are the steps you need to follow. Change the mixed number you have into an improper fraction. Find the reciprocal of the divisor and then multiply, simplify it if there’s a need. Make sure to give the answers in the lowest terms. Cross-check to make sure that the answers make sense. The following example will make it easier for you to learn the operation. Example: 30 divided by 1 1/2 This is 30 divided by 3/2 Now make the reciprocal of the number and turn the division into multiplication. 30 x 2/3; just like this 60/3 Simplify the number, and the answer is 20. Students learn how to divide top heavy fractions and mixed numbers in these worksheets and lessons.
Printable Worksheets And Lessons
- Improper Fraction Quotients Step-by-Step Lesson- We present students with improper fractions instead of mixed numbers to get them comfortable.
- Guided Lesson - We start to turn up the heat on number three.
- Guided Lesson Explanation - Make sure students understand reciprocals before walking into this task.
- Practice Worksheet - I mostly gave them the same denominators, and only in a few situations that doesn't hold true.
- Matching Worksheet - I actually saw a student do this one in under a minute. That impressed me!
The denominators are different. Don't let that trip you up on these.
- Homework 1 - Find the inverse of 8/4 by swapping the numerator and the denominator.
- Homework 2 - It's all about flipping the numbers here.
- Homework 3 - Watch out for those zeroes.
I would highly recommend that you have students reduce the fractions, if possible.