What Are Mixed Fractions?

How do they work? And how can you turn them into improper fractions? Keep on reading to find out!

Join Our Community of Science Lovers!


What do you get when you add a whole number like 1, 2, 3, or anything else to one of the good old-fashioned proper fractions that you’ve come to know-and-love such as 1/2 or 1/3? You get what’s called a mixed fraction. What exactly do mixed fractions look like? How can you convert them into normal everyday fractions? And when do you need to bother doing so? Stay tuned because those are exactly the questions we’ll be answering today.

Review: Proper and Improper Fractions


On supporting science journalism

If you're enjoying this article, consider supporting our award-winning journalism by subscribing. By purchasing a subscription you are helping to ensure the future of impactful stories about the discoveries and ideas shaping our world today.


As we’ve seen, fractions come in a number of different flavors. The typical kind that you’re used to dealing with on an everyday basis—the vanilla flavored guys—are called “proper fractions.” A fraction is dubbed “proper” if its numerator is smaller than its denominator. So 1/2, 2/3, and 3/4 are all proper fractions. On the other hand, the more exotically flavored fractional beasties are numbers like 3/2, 4/3, and 27/11 whose numerators are all greater than their denominators. What are these not-so-proper guys called? Rather logically, fractions that fall into this camp are called “improper fractions.”

What do you get when you add a whole number like 1, 2, 3, or anything else to one of the good old-fashioned proper fractions that you’ve come to know-and-love such as 1/2 or 1/3? You get what’s called a mixed fraction. What exactly do mixed fractions look like? How can you convert them into normal everyday fractions? And when do you need to bother doing so? Stay tuned because those are exactly the questions we’ll be answering today. Review: Proper and Improper Fractions As we’ve seen, fractions come in a number of different flavors. The typical kind that you’re used to dealing with on an everyday basis—the vanilla flavored guys—are called “proper fractions.” A fraction is dubbed “proper” if its numerator is smaller than its denominator. So 1/2, 2/3, and 3/4 are all proper fractions. On the other hand, the more exotically flavored fractional beasties are numbers like 3/2, 4/3, and 27/11 whose numerators are all greater than their denominators. What are these not-so-proper guys called? Rather logically, fractions that fall into this camp are called “improper fractions.”

»Continue reading on QuickAndDirtyTips.com

It’s Time to Stand Up for Science

If you enjoyed this article, I’d like to ask for your support. Scientific American has served as an advocate for science and industry for 180 years, and right now may be the most critical moment in that two-century history.

I’ve been a Scientific American subscriber since I was 12 years old, and it helped shape the way I look at the world. SciAm always educates and delights me, and inspires a sense of awe for our vast, beautiful universe. I hope it does that for you, too.

If you subscribe to Scientific American, you help ensure that our coverage is centered on meaningful research and discovery; that we have the resources to report on the decisions that threaten labs across the U.S.; and that we support both budding and working scientists at a time when the value of science itself too often goes unrecognized.

In return, you get essential news, captivating podcasts, brilliant infographics, can't-miss newsletters, must-watch videos, challenging games, and the science world's best writing and reporting. You can even gift someone a subscription.

There has never been a more important time for us to stand up and show why science matters. I hope you’ll support us in that mission.

Thank you,

David M. Ewalt, Editor in Chief, Scientific American

Subscribe