Simplifying and Comparing Fractions

The ability to computing fractions is important and relevant for today. Primarily, it is used for making estimates.

Lets begin with adding mixed numbers. Easy!!

Don’t forget to simplify your fractions.

Exercises follow.

ADDITION AND SUBTRACTION OF FRACTIONS WITH SAME DENOMINATOR

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Adding fractions can be quite easy. There are three steps in adding fractions:

  1. Make sure the bottom numbers (the denominators) are the same.
  2. Add the top numbers (the numerators) only.
  3. Simplify the fraction if needed.

Let’s look at an example:

This image has an empty alt attribute; its file name is adding-fraction.png

This is the algorithm method also showing the graphic representation of the two fractions that need to be added. You can also think of adding fraction according to the number line method

This image has an empty alt attribute; its file name is number-line-fraction.png

Let’s consider a subtraction question.

This image has an empty alt attribute; its file name is fraction2.png
This image has an empty alt attribute; its file name is number-line-fraction2.png




ADDING AND SUBTRACTING MIXED NUMBERS

Work out whole numbers to whole numbers and fractions to fractions.

Examples:

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Worksheets