Fractions

Definition: A fraction is a way of writing "the number pieces we have of something divided".

The fraction: \frac{2}{3} says we have 2 pieces of a thing divided into 3 pieces.

The fraction: \frac{1}{7} says we have 1 piece of a thing divided into 7 pieces.

Name: The number above the fraction line is called the numerator. Notes

The numerator "numerates the number" - tells the number of pieces.
The bigger the numerator, the more pieces you have.

Name: The number under the fraction line is called the denominator. Notes

The denominator "denominates the division" - tells the division of a thing.
The bigger the denominator the smaller the pieces so \frac{2}{5}< \frac{2}{3}
- \frac{2}{3} means we have 2 pieces of a thing divided into 3 pieces and
- \frac{2}{5} means we have 2 pieces of a thing divided into 5 pieces.

Important Rules:

If numerator = denominator, you have all of the pieces so you have the whole thing.

So, \frac{7}{7}=1 and \frac{645}{645}=1 .

If numerator = 0, you have no pieces. That means you have nothing - no matter the denominator.

So, \frac{0}{2}=0 and \frac{0}{123}=0 .

1. Write down a 1st fraction that is < 1.

Where is this fraction is on the number line?

• Type in the numerator of your fraction in the left box.

• Type in the denominator of your fraction in the right box.

• Click on Draw Blue Fraction button.

2. Write down a 2nd fraction that is < 1.

Is this fraction bigger or smaller than your 1st fraction?

Where will it be on the number line?

• Type in the numerator of your fraction in the left box.

• Type in the denominator of your fraction in the right box.

• Click on Draw Red Fraction button.

• Change your fractions as much as you want!

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Standards: CA 2.NS.4.0, CA 3.NS.3.0, ACT Number Sense 24-28