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Introduction

QUICK LINKS


Introduction

Fractions

To help us better understand fractions, we like to imagine them as pizzas or legos.

Pick whichever you vibe with more:

A fraction tells us how many parts of a certain size there are. Every fraction has a numerator and a denominator.
The numerator is the top number in a fraction and tells us how many equal parts there are.
The denominator is the bottom number and tells us the size and the total number of equal parts needed to make a whole.
In the fraction above, the numerator is and the denominator is . So, there is one-fourth slice of pizza or of slices needed to make a whole pizza.

Writing Fractions Calculator

What shape is your diagram?

Step 1. Identify the denominator.

The denominator represents the size and total number of equal parts needed to make a whole.
If we imagine your diagram as a pizza, how many total equal slices are there in a whole pizza?

Step 2. Identify the numerator.

The numerator represents how many equal parts there are.
If we imagine your diagram as a pizza, how many of the slices are filled in?

Step 3. Place the numerator on top of the denominator.

So, the fraction is .

Key Steps πŸ— How to Write Fractions

Step 1. Identify the denominator.

The denominator represents the size and total number of equal parts needed to make a whole.

Step 2. Identify the numerator.

The numerator represents how many equal parts there are.

Step 3. Place the numerator on top of the denominator.

Walk through example problems and practice writing fractions!
You can also use the Quick Links menu to jump to the section you’d like to explore!

Writing Fractions

A fraction tells us how many parts of a certain size there are. The parts can be portions of a single item or portions of a group.
There are two-third slices of pizza or of slices needed to make a whole pizza.
The numerator is the top number in a fraction and tells us how many equal parts there are.
The denominator is the bottom number and tells us the size and the total number of equal parts needed to make a whole.
As the size of the denominator increases, the size of the parts decreases.

Smaller Denominator

✨ Drag ✨

Bigger Denominator

Since the number of parts needed to make a whole will always be nonzero, the denominator can never be 0.

Types of Fractions

TypeRuleExample
Proper Fractiontop bottom
Improper Fractiontop bottom
Mixed Numberwhole number fraction
We're just covering proper fractions in this lesson. Click here to checkout our lesson on improper and mixed fractions!
Now that we know our basics, let’s check out some examples of how to write fractions!
Let's start by writing the fraction represented by this image:

Step 1. Identify the denominator.

The denominator represents the size and total number of equal parts needed to make a whole.
In this pizza, one whole is made up of slices, so our denominator is .

Step 2. Identify the numerator.

The numerator represents how many equal parts there are.
In this pizza, slices are filled in, so our numerator is .

Step 3. Place the numerator on top of the denominator.

So, the fraction is .
Nice work! Remember this method works for any shape - let's try writing the fraction represented by this image:

Step 1. Identify the denominator.

The denominator represents the size and total number of equal parts needed to make a whole.
In this lego, one whole is made up of sections, so our denominator is .

Step 2. Identify the numerator.

The numerator represents how many equal parts there are.
In this lego, sections are filled in, so our numerator is .

Step 3. Place the numerator on top of the denominator.

So, the fraction is .
Incredible work! If you’d like additional practice with writing fractions, take a moment to complete the quick practice below before closing out this lesson! ⚑

Practice: Writing Fractions

Question 1 of 6: What is the fraction represented by this image?

Step 1. Identify the denominator.

The denominator represents how many equal parts a whole is divided into.
How many total slices make up a whole pizza?

Step 2. Identify the numerator.

The numerator represents how many equal parts there are.
How many slices are filled in?

Step 3. Place the numerator on top of the denominator.



Great work! Our answer is .

When you feel like you've mastered this lesson, click for a celebration ⬇️!
Incredible job, look at you go! Thanks for checking out this lesson β˜ΊοΈπŸ™. Where to next?