Fraction Lecture

Fractions - Intro

By Phoenix Ward

Quick Announcements

1.) Midterm Grades will be updated and uploaded to your Canvas November 2nd, 2025 this is because...

2.) You have an opportunity to gain 10 extra points to your Midterm grade.
- Go to ALEKS and locate your "FMNT Midterm"
- Click on the % next to the test to view the results.
- Complete the problems that you got wrong for 10 additional points.

3.) Please be sure to reach out to me for any help.

Pretend that there's a pizza. A whole pizza is 1/1 or 1 whole.

If you divide the Pizza into 8 even pieces, and take 1, you have 1/8th of a piece.

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A Fraction is a Part of a whole

Fractions are made of 2 Parts...

Numerator = The number of things out of the whole.

Denominator = How many total things there are.

Multiple Choice

Which picture shows fourths?

1/2

5/10

Fractions can be Equivalent

Determining Equivalent Fractions

Equivalent fractions can be found by
multiplying or dividing

Mixed Numbers & Improper Fractions

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Multiple Choice

What fraction of the rectangle is blue?

• 1/6
• 1/3
• 6/2
• 2/3

Multiple Choice

Which is NOT an equivalent fraction to one half?

• 2/4
• 2/3
• 4/8
• 3/6

Multiple Choice

Which fraction is equivalent to 1?

• 1/2
• 1/10
• 5/5
• 5/1

Mixed Numbers & Improper Fractions

Improper fractions have a numerator that is higher than its denominator.

Converting between the two is simply taking
the remainder of a division problem, moving the
whole number beside the fraction, and putting
the remainder as the new numerator.

Mixed Numbers & Improper Fractions

Converting back from Mixed Number to improper fraction, you simply have to multiply the denominator by the whole number, then add the product to the numerator.

Keep the denominator the same and you have a Mixed Number!

Multiple Choice

What mixed number is shown in this model?

• 1 $$\frac{2}{4}$$

• 2 $$\frac{2}{4}$$

• 3 $$\frac{2}{4}$$

Multiple Choice

• 21/4
• 9/4
• 4/9
• 2/4

Multiple Choice

7/2= what as a mixed number?

• 3  1/2
• 4  3/2
• 4  1/2
• 2  3/2

Finally, placing Fractions on a number line:

Generally, the larger the denominator, the smaller the fraction. If the numbers share the same denominator, the larger the numerator, the larger the fraction.

Fraction Inequalities

Multiple Choice

What fraction is represented with an 'x' on the number line?

• 1/8
• 2/9
• 1/9
• 1/4

Multiple Choice

1/8 is ______ than 1/6

• Less
• Greater 
• Equal 

Multiple Choice

1/2 is _____ than 1/3

• Less 
• Greater
• Equal