We've updated our
Privacy Policy effective December 15. Please read our updated Privacy Policy and tap

TEXT
Unlock Solution Steps
Sign in to
Symbolab
Get full access to all Solution Steps for any math problem
By continuing, you agree to our Terms of Use
and have read our Privacy Policy

Study Guides > Prealgebra

Introduction to Multiplying and Dividing Mixed Numbers and Complex Fractions

A young man kneeling to pet several puppies in a kennel Feeding dogs at an animal shelter presents an interesting division problem.
Rufus volunteers at an animal shelter. Every morning, he feeds each dog 2/3 cup of food. If each bag of dog food contains 25 1/3 cups of food, how many dogs can he feed with each bag? This may sound like a simple division problem, but Rufus will need to figure out how to deal with a mixed number (25 1/3) before he can find the answer. In this section, you'll learn how to multiply and divide with mixed numbers and complex fractions.  

Learning Outcomes

By the end of this section, you will be able to:
  • Multiply and divide mixed numbers
  • Translate phrases to expressions with fractions
  • Simplify complex fractions
  • Simplify expressions written with a fraction bar
 

readiness quiz

Before you get started, take this readiness quiz. 1) [ohm_question]144758[/ohm_question] If you missed this problem, review this video. https://youtu.be/qFUvF5-w9o0 2) [ohm_question]146021[/ohm_question] If you missed this problem, review the video below. https://youtu.be/f_L-EFC8Z7c 3) [ohm_question]145980[/ohm_question] If you missed this problem, review this video. https://youtu.be/p_YRBcZ4u4g
 

Licenses & Attributions

CC licensed content, Original

  • Question ID: 144758, 146021, 145980. Authored by: Alyson Day. License: CC BY: Attribution. License terms: IMathAS Community License CC-BY + GPL.

CC licensed content, Shared previously

  • Animal Shelter. Authored by: US Navy. Located at: https://commons.wikimedia.org/wiki/File:US_Navy_110618-N-UE250-057_Boatswain%27s_Mate_3rd_Justin_Bey_plays_with_a_kennel_of_puppies_at_the_Guam_Animals_In_Need_(GAIN)_animal_shelter.jpg. License: Public Domain: No Known Copyright.
  • Ex 1: Multiply Fractions (Basic). Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.
  • Examples: Converting a Mixed Number to an Improper Fraction. Authored by: James Sousa (Mathispower4u.com) . License: CC BY: Attribution.
  • Example 3: Evaluate An Expression Using The Order of Operation. Authored by: James Sousa (Mathispower4u.com). License: CC BY: Attribution.

CC licensed content, Specific attribution