Do you ever look at a mixed number and wonder, "What does that even mean?" or, "How do I change that into an improper fraction?"

**Look no further! **Learn how to convert mixed numbers into improper fractions in **4 easy steps!**

## Review: Proper Fractions & Mixed Numbers

### Proper Fraction

**Denominator (5)**

tells you how many equal parts make up one whole

**Numerator (2)**

tells you how many parts you have, out of the whole total

### Mixed Number

Mixed numbers are fractions that consist of 2 parts: the whole number and a fraction.

**Whole Number (3)**

tells you how many whole pieces there are in total

**Fraction (2/5)**

tells you how many parts of a whole there are

### Improper Fraction

An **improper fraction** is another way to represent mixed numbers, where the numerator is greater than the denominator.

## Imagine Pizzas

Let's imagine pizzas to help us understand mixed numbers.

The **whole number**, 3, tells us that there are **3 whole pizzas**, with **5 equal pieces**.

The **denominator**, 5, tells us that the whole pizza is **divided equally** into **5 pieces**.

The **numerator**, 2, tells us that there is one **pizza that isn't quite whole**. There are **2 slices of the 5** that remain.

## How Do I Convert a Mixed Number into an Improper Fraction?

If...

there are 5 slices in a whole and,

there are 3 wholes...

That means the 3 wholes are made of **15 equal slices**!

The fraction tells us...

we have

**2 remaining slices**

So, if we have 15 slices from the wholes, and 2 slices from the fraction...

we have

**17 slices in total**!

Write **17 as the numerator**. The numerator tells us how many equal parts we have.

**Keep the denominator as 5**, because the denominator tells us how many equal parts there are in a whole. It doesn't change.

#### Quiz

If the mixed number is 5 wholes and one-fourths (5 1/4), what is the numerator in a mixed number?

## Is There an Easier Way?

Why of course!

**Multiply**the**whole number (3)**by the**denominator (7)**. This will tell us how many pieces make up the whole. 3 x 7 = 21

**Add**the**numerator (5).**This will tell us how many pieces there are altogether. 21 + 5 = 26

Write the

**sum as the new numerator**of the improper fraction.**Keep**the same**denominator**. 26/7

#### Quiz

Convert this mixed number into an improper fraction. 6 wholes and two-fifths (6 2/5).

## Take Action

Was converting from a mixed number to an improper fraction easier than you thought? Sometimes, unfamiliar concepts can make you panic (I know I do), but with a little practice, you'll be a pro at converting fractions in no time!

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