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Lesson 5: Fractions and whole numbers

# Understand fractions: FAQ

## What is a fraction?

A fraction is a way of representing a part of a whole. The top number is called the numerator, and the bottom number is called the denominator.
The $\text{numerator}$ is the number of equal parts being counted.
The $\text{denominator}$ is the number of equal parts in one whole.
$\frac{\text{numerator}}{\text{denominator}}$

## What does it mean when the numerator is bigger than the denominator?

It means that the fraction is bigger than $1$.
For example, $\frac{4}{3}$ is greater than $1$ because the number of pieces we are counting, $4$ is greater than the number of pieces in the whole, $3$.

## How do we show fractions on a number line?

We can divide the number line into different parts to show where a fraction falls. For example, if we divide the number line into four equal parts, we can show $\frac{1}{4}$ halfway between $0$ and $\frac{1}{2}$.

## How can we relate fractions to $1$‍ ?

A fraction is greater than $1$ when the numerator is greater than the denominator.
A fraction is equal to $1$ when the numerator is equal to the denominator.
A fraction is less than $1$ when the numerator is less than the denominator.

## Why do we need to learn about fractions?

Fractions are used in many different ways in the real world. For example, recipes often call for fractions of ingredients, like $\frac{1}{2}$ a cup of sugar. We also use fractions in measurements, like $\frac{3}{4}$ of an inch.

## Want to join the conversation?

• why do you use fractions in life?
• Because we need to use it in real life all the time!

-- Cents are fractions of a dollar
-- Minutes are fractions of an hour
-- You can relate inches and feets in order to make 12 in = 1 ft or 1 in = 1/12 ft

There are countless exemples of fractions in real life.
• How can you tell if a fraction is less,greater,or = to a half or a whole too.
• If a fraction is a whole then it means that the numerator (the top number) is equal to the denominator (the bottom number).

If the numerator is more than the denominator, it is greater than a whole, and if the numerator is less, it is less than a whole.

The same goes for a half -- for example, 7/14. 7*2 is 14. If the numerator *2 is equal to the denominator, it is exactly half. If the numerator *2 is less than the denominator, it is less than half. And finally, if the numerator *2 is more than the denominator, it is greater than half.
• How big can a fraction get? Is there such thing as 100 equal parts?
• Let's see some exemples to make this clear:

One dollar can be divided in 100 equal parts. In that way, 1 cent is equal to 1/100 of a dollar.

We can do "bigger" than that. For instance, we can divide a meter in 1000 equal parts, and then we will have a millimeter, or 1/1000 of a meter.

A nanosecond is crazy! This is a unit of time equal to one billionth of a second, or 1/1,000,000,000! Some scientists wake up one day and said: "Hey, let's take a second and divide it into one billion equal parts and than call one of that parts a nanosecond just for fun!".

So, we can make a fraction as "big" as we need to. There is no limit to do that.
• Did you know that math is everywhere? I was surprised when I heard that! Even though it is surprising, I LOVE IT!
• when were fractoins created
• About in 1913 October 23rd
• But how do we use fraction
• What do you need fractions for
• Fractions are used in many different ways in the real world. For example, recipes often call for fractions of ingredients, like a cup of sugar.