*Contributor: Stefani Allegretti. Lesson ID: 14159*

Fractions are parts of a whole and knowing how to find them can come in super handy. Get ready to become a fraction finding master and learn how to find the fraction of any whole number!

categories

subject

Math

learning style

Auditory, Visual

personality style

Lion, Golden Retriever

Grade Level

Intermediate (3-5)

Lesson Type

Quick Query

Sharing things is fun, especially when you're sharing them with your friends!

Think about a yummy pizza that has 8 slices.

You want to share the pizza with your friends so you and each of your three friend gets two slices of the pizza.

- What can you do?

Easy! You can calculate the fraction of the whole!

Get ready to dive into the world of fractions!

- How do you find the fraction of a whole number?

To start, identify the whole number.

Say you have 24 stickers and want to know what ½ of 24 is.

Step 1 is to multiply.

For this problem, you will multiply ½ times 24.

- But how can you do that when 24 is a whole number?

A whole number is the same as having 1 as the denominator, so you can turn 24 into a fraction by making the whole number the numerator and 1 as the denominator.

So, here is your equation.

1 | x | 24 | = | ? |

2 | 1 |

- What is the next step?

Multiply the numerators.

1 x 24 = 24

Multiply the denominators.

2 x 1 = 2

That gives you

24 |

2 |

After that, you can divide the numerator by the denominator.

24 divided by 2 = 12!

There you go!

½ of 24 is 12.

Watch the beginning of this video to see more examples in action!

Below are the simple steps for this approach to finding the fraction of a whole.

- Change the word "of" to multiplication.

- Turn the whole number into a fraction by making it the numerator and the denominator 1.

- Multiply both the numerator and denominator across.

- Divide the numerator by the denominator.

- Simplify if necessary.

Nice work!

Next, try another example using a slightly different approach!

Find ^{2}/_{3} of 18.

The first step is still to change this problem to a multiplication problem.

2 | x | 18 | = | ? |

3 | 1 |

Instead of multiplying across, you can divide 18, the whole number, by 3, the fraction's denominator.

18 divided by 3 is 6. Replace 18 in the numerator with 6 and 3 in the denominator with 1.

2 | x | 6 | = | ? |

1 | 1 |

Next, you can simplify multiply across 6 x 2 = 12

So, your answer is ^{2}/_{3} of 18 is 12!

2 | x | 18 | = | 12 |

3 | 1 |

Nice work!

Continue watching the video to see this different approach in action!

Below are the simple steps for this approach to finding the fraction of a whole.

- Change the word "of" to multiplication.

- Divide by the denominator

- Multiply by the numerator

- Simplify if necessary

It's your turn to practice some examples on your own.

Now, head to the *Got It? *section and have more fun finding fractions of whole numbers!