What are Improper Fractions and Mixed Numbers

Introduction

Improper fractions and mixed numbers are two things you need to know when working with fractions. Here are the basic definitions of these terms:

• Improper Fractions: A type of fraction in which the numerator is greater than the denominator.
• Mixed number: A mixed number or a mixed fraction is a whole number and a proper fraction combined.

Now that you know what each term means, let's try converting improper fractions into mixed numbers and mixed numbers into improper fractions.

Converting Fractions

Let's say that we have an improper fraction such as 16/5 and we need to convert this into a mixed number. The first thing you will do is divide 16/5=3 remainder 1. Next, you will use your quotient as your whole number, use your remainder as your numerator and your denominator will remain the same: 3 1/5.

Now let's say that you have a mixed number such as 4 5/6 and you have to convert this into an improper fraction. The first thing you will do is multiply the denominator by the whole number: 6*4=24. Next, you will add your numerator to your product: 24+5=29. The last thing you will do is use the sum you just got as your numerator. Your denominator will also stay the same:

29/6.

Sheet 1 Practice Problems on Improper Fractions and Mixed Numbers