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Dividing Mixed Numbers (As Improper Fractions)

5.NF.B.7b
Answer Keys Here

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




Homework Sheets

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.



Practice Worksheets

I would highly recommend that you have students reduce the fractions, if possible.

  • Practice 1 - Multiply the numerators. Then, multiply the denominators.
  • Practice 2 - 5/1 ÷ 8/3
  • Practice 3 - See is the denominators make sense first.



Math Skill Quizzes

I kept all the denominators as close as possible to the factors to see if students would take the bait. The best way to learn is from your mistakes.

  • Quiz 1 - These are some thick values.
  • Quiz 2 - These are a bit odd.
  • Quiz 3 - The denominators sit well with me.