## 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