Succeed with maths – Part 1
Succeed with maths – Part 1

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

Free course

Succeed with maths – Part 1

3.1 Dividing fractions

So now you know that to divide by a fraction, you convert the second fraction (the one you are dividing by) into its reciprocal, then multiply by that fraction instead.

Just once more, consider six division two divided by five.

If you swap the numerator and the denominator of two divided by five, you will have five divided by two: this is the reciprocal of two divided by five.

Thus, equation sequence six division two divided by five equals six multiplication five divided by two equals six cubed divided by one multiplication five divided by two sub one equals three divided by one multiplication five divided by one equals 15 divided by one equals 15

So, dividing a number by two divided by five is the same as multiplying the number by five divided by two.

This process of finding the reciprocal of the fraction that appears after the division sign, and then multiplying by that value, can be used in any division problem.

Now you are going to look at dividing mixed numbers and fractions.

Skip Your course resources

Take your learning further

Making the decision to study can be a big step, which is why you'll want a trusted University. The Open University has 50 years’ experience delivering flexible learning and 170,000 students are studying with us right now. Take a look at all Open University courses.

If you are new to University-level study, we offer two introductory routes to our qualifications. You could either choose to start with an Access module, or a module which allows you to count your previous learning towards an Open University qualification. Read our guide on Where to take your learning next for more information.

Not ready for formal University study? Then browse over 1000 free courses on OpenLearn and sign up to our newsletter to hear about new free courses as they are released.

Every year, thousands of students decide to study with The Open University. With over 120 qualifications, we’ve got the right course for you.

Request an Open University prospectus371