Fractions


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A series of free Pre-Algebra Lessons.

Adding Fractions
How to add fractions with like denominators?

  1. Add the numerators, keeping the same denominator.
  2. Simplify if possible.

How to add fractions with unlike denominators?

  1. Find the least common multiple of the denominators. This is called the least common denominator (LCD).
  2. Create equivalent fractions with the same denominator.
  3. Add the numerators, keep the same denominator.
  4. Simplify if possible.

This video explains how to add fractions with like and unlike denominators. It explains why we must have a common denominator when adding fractions.

Subtracting Fractions
How to subtract fractions with like denominators?

  1. Add the numerators, keeping the same denominator.
  2. Simplify if possible.

How to subtract fractions with unlike denominators?

  1. Find the least common multiple of the denominators. This is called the least common denominator (LCD).
  2. Create equivalent fractions with the same denominator.
  3. Subtract the numerators, keep the same denominator.
  4. Simplify if possible.

This video explains how to subtract fractions with like and unlike denominators. It explains why we must have a common denominator when subtracting fractions.




Adding Mixed Numbers
How to add Mixed Numbers?

  1. Obtain a common denominator for the fractions.
  2. Add
  3. If the sum has an improper fraction, convert it to a mixed number and add it to the whole number.
  4. Simplify if possible.

Subtracting Mixed Numbers
How to subtract Mixed Numbers?

  1. Obtain a common denominator.
  2. Check to see if you need to borrow.
  3. Subtract the fractions and then the whole numbers.
  4. Simplify if possible.

Multiplying and Dividing Mixed Numbers
How to multiply Mixed Numbers?

  1. Convert the mixed number to an improper fraction.
  2. Simplify if possible.
  3. Multiply.
  4. Convert back to a mixed number.

How to divide Mixed Numbers?

  1. Convert the mixed number to an improper fraction.
  2. Rewrite the division problem as a multiplication problem.
  3. Simplify if possible.
  4. Multiply.
  5. Convert back to a mixed number.


Check out our most popular games!

Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!

Fraction Concoction Game

Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.

Fact Family Game

Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.

Number Bond Garden

Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.

Online Addition Subtraction Game

Penguin Solitaire
Penguin Solitaire is a fun game that aims to move all cards to the foundations to build four full sequences. There are two versions here: Penguin (Tuxedo) and Penguin (Original).

Penguin Solitaire



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