Select Page

Dividing Mixed Numbers

How do you divide mixed numbers?

dividing mixed numbers

See the examples below to be more clear.

Example:\frac{1}{3} \div\frac{5}{9}

Step 1: To convert 2\frac{1}{3} to improper fraction, multiply the whole number, 2 by the denominator, 3, which means 2 × 3 = 6

Add numerator to the above product, so 6 + 1 = 7

2 \frac{1}{3} to improper fraction is \frac{7}{3}   .

Similarly, 2\frac{5}{9} to improper fraction involve the following steps:

(2 × 9) + 5 = 18 + 5 = 23

2 \frac{5}{9}  to improper fraction is \frac{23}{9}  .

Step 2: In terms of improper fractions, the given problem is \frac{7}{3} \div \frac{23}{9}

Step 3: Take the reciprocal of the second fraction and convert division symbol to multiplication symbol.

\frac{7}{3}  \div   \frac{23}{9}   = \frac{7}{3}\times\frac{9}{23}

Step 4: Reduce to lowest terms and leave the answer as it is or write it as a mixed fraction.

\frac{7}{3}\times\frac{9}{23}  = 7\times\frac{3}{23}  = \frac{21}{23}

Example 2: David made 1\frac{1}{2} quart of pineapple shake. If each glass can hold \frac{1}{6}  of a quart, then how many glasses can David fill?

dividing mixed numbers

 

Solution: To find the number of glasses David can fill, divide the amount of shake David has made with the amount each glass can hold.

So, number of glasses David can fill =1\frac{1}{2} ÷ \frac{1}{6} = \frac{3}{2} ÷ \frac{1}{6}\frac{3}{2} × 6 = 3 × 3 = 9 (Answer)

CHECK POINT 

  1. 1\frac{5}{6}\div\frac{7}{10}
  2. 5\frac{2}{3} \div 1\frac{1}{6}
  3. Jessica roasted almonds 4\frac{2}{5} pounds and then puts \frac{1}{5} pound almonds to each bag. How many bags of almonds can Jessica fill?

  1. 1\frac{1}{6} \div2\frac{1}{2}
  2. A bakery shop uses \frac{1}{12} of a bag of sugar for each batch of donuts. If the shop used \frac{1}{3} bag of sugar on Tuesday, how many batches of donuts did the shop made on Tuesday?

 

Answer key
  1. 2\frac{13}{21}
  2. 4\frac{6}{7}
  3. 22 bags
  4. \frac{7}{15}
  5. 4 batches

Download/Solve a Worksheet for Dividing Mixed Numbers

Give Your Child The eTutorWorld Advantage

Research has proven that personal online tutoring not just cements school learning, it helps build student confidence. eTutorWorld provides the best K-12 Online Tutoring Services so you can learn from the comfort and safety of your home at an affordable cost.

Be it an exam, class test or a quiz, eTutorWorld’s Math, Science and English tutors are responsible for your academic progress. Meet your personal coach at your convenient day and time to get help for Grade 3-12 Math, Science and English subjects and AP, SAT, SSAT and SCAT Test Prep help and test practice. All our tutors are graduates and bring with them years of teaching experience to the tutoring lessons.

Our ‘Learning by Design’ methodology makes sure that each student is at the center of the teaching-learning process. All tutoring sessions start with a question to the student ‘What do you want to learn today?’ Hence, tutors diagnose your skills and recognize your requirements before the actual tutoring happens. Post every tutoring session, an individualized worksheet is emailed to the student to assimilate learned concepts. Regular formative assessments are used to evaluate a student’s understanding of the subject.

The state of the art technology used is stable, user friendly and safe. All you need is a computer or a tablet and an internet connection. The easy-to-use web conferencing software requires a one time download, using which the student can talk and chat to the tutor, annotate on an interactive shared whiteboard or even share documents, assignments or worksheets.

All tutoring sessions are recorded and made available for a month so you can review concepts taught.

Email or call our support team with any issues or questions – we are here for you 24X7.

Also, download free printable math and science worksheets in pdf format and solve SCAT and SSAT Practice Tests online. Sign up for a Free Trial Lesson Today!

Thousands have taken the eTutorWorld Advantage – what are you waiting for?

© 2019 eTutorWorld - Online Tutoring and Test Prep | All rights reserved