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### Course: 3rd grade (Eureka Math/EngageNY)>Unit 5

Lesson 5: Topic E: Equivalent fractions

# Whole numbers as fractions

Let's explore how to represent whole numbers as fractions. We shade circles to demonstrate 3/1 equals 3, and discuss how the fraction symbol represents division. We then illustrate the concept on a number line, connecting fractions to whole numbers. Created by Sal Khan.

## Want to join the conversation?

• What if I have 1 whole, and I have nothing shaded in? Will that just be 0/1?
• Yes. The whole represents the denominator. There are 0 parts, so 0 as the numerator. 0 over 1. 0/1. So it is definitely 0/1. Thanks for asking!
• Then how about 5/1 ? It is read as five one or five ones ?
• Five ones. This fraction means 5 wholes.
• can fractions have negative or decimal numbers inside?
• Yes! Fractions are essentially a form of division, so you can have a decimal or another fraction as the numerator or denominator.
• can a whole number be written as a fraction with a denominator of 1?
• Yes, all whole numbers can be written as a fraction with a denominator of 1.
• Seriously, where would this be used? Is the point something other than math. I understand whats happening here but how would this be used in the real world?

I'm a paranoid person and this question is a mental health tool.
• Oh I PROMISE YOU, you need to be able to do fractions

So they haven't explained it yet but fractions are actually just a different way of expressing division in equations

so the fraction 10/2 is literally 10 divided by 2

And if you did the division section you'll know that division helps in separating groups equally.

If you need to spilt 10k between 10 people how many will received money?

If I have 3 pencils and 3 classes how many pencils can I have for each class

Then when the number doesn't spilt evenly fractions are there to explain what part of a whole part is needed to be given

Once again like with money: If my business made \$47 today and I need to split it among 3 workers how much money does each worker get?

\$15.66 (not rounded because we don't have extra money to give to all three)
• Why is every single discussion locked and how do I do that?
• Would it be one whole if it is 6/6 or 8/8 for an example?
• That is correct. If the numerator and the denominator of a fraction are the same, it will evaluate to 1.
• what if the number im trying to make into a fraction is 7 what would the answer be
(1 vote)
• Any number is the same as itself over 1. So 7 is the same as 7/1.

Have a blessed, wonderful day!