Introduction to Fractions

Contributor: Elephango Editors. Lesson ID: 12784

Dive into the exciting world of fractions! Learn how to spot them in everyday life, master numerator and denominator tricks, and use your new skills to run a pizza shop, bake treats, or create art!

1To2Hour
categories

Fractions and Operations

subject
Math
learning style
Visual
personality style
Lion, Beaver
Grade Level
Intermediate (3-5)
Lesson Type
Quick Query

Lesson Plan - Get It!

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Becoming a Fraction Investigator!

Imagine you’re an investigator solving the mystery of a broken chocolate bar. You must figure out how much chocolate is left after your friend nibbled on it!

chocolate bar with caramel filling broken with a bite missing

To crack the case, you’ll use fractions.

Fractions are like a secret code that tells you how much of something you have.

  • Ready to solve mysteries and become a fraction expert?

Dive in!

What Are Fractions?

Fractions are everywhere! Whether you're slicing pizza, cutting cake, or even dividing candy, fractions help you understand how much of something you have.

Let's break it down step by step.

The Secret Code of Fractions

A fraction is a way to show parts of a whole. It has two parts.

  1. Numerator: The number on top tells how many parts you're talking about.
  1. Denominator: The number on the bottom tells how many equal parts make up the whole.

Example:

Imagine you have a chocolate bar divided into 8 pieces. You eat 3 pieces. The fraction is 3/8.

  3 numerator
  8 denominator

 

The 3 is the numerator because that's how many pieces you ate.

The 8 is the denominator because that's how many pieces the chocolate bar had in total.

Visualizing Fractions

Use circles to explore fractions.

Look at this circle divided into 4 equal parts.

circles divided into fractions

If 1 part is shaded red, the fraction is 1/4 (one out of four parts).

If 3 parts are shaded red, the fraction is 3/4 (three out of four parts).

Now, try this: Draw a circle, divide it into 6 equal parts, and color 2 parts blue.

  • What fraction of the circle is blue?

circle divided into 6 parts with 2 shaded blue

That's right! The numerator is 2, and the denominator is 6.

Comparing Fractions

Fractions can show you which part is bigger or smaller.

  • If one circle has 2/4 shaded and another has 3/4 shaded, which one has more?

circles divided into fractions

That's right — 3/4 is larger because it represents more parts.

Finding Fractions in Real Life

Here's how fractions show up around you every day.

In the kitchen: When baking, you often use fractions, such as 1/2 cup of sugar or 1/4 teaspoon of salt.

On the playground: If 4 out of 8 swings are being used, only 4/8 of the swings are free.

Sharing snacks: If you and a friend split a pizza into 8 slices and eat 3 slices each, only 2/8 of the pizza is left.

Practice Fractions With a Fun Story

You're hosting a party and serving a giant pie!

You cut the pie into 8 equal slices. If 4 slices are eaten, the fraction of the eaten pie is 4/8.

  • If 2 more slices are eaten, what fraction of the pie is left?

That's right! You have 2/8 pie left.

The Rule of Equal Parts

For a fraction to work, the parts must be equal.

If you cut a pizza into 8 slices, they must all be the same size. If one slice is bigger than the others, it is not a proper fraction!

Numerator and Denominator Practice

Try a quick challenge.

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Nice work!

Fractions help you talk about parts of a whole.  You've seen how they work, practiced finding the numerator and denominator, and learned to compare fractions.

Head to the Got It? section to put your skills to work in some fun activities!

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