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Adding fractions - how to easily

  • Oct 25, 2025
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To add fractions, you must first attach to a common denominator. We will show you how the Addition of fractions works.

Add fractions: to Expand, to shorten and sum up

  • A fraction consists of a numerator (above the fraction bar) and a denominator (below the fraction bar). To add two fractions, they must both have the same denominator.
  • You need to expand, therefore, first of all, one or both of the breaks or cut, until you have the same denominator.
  • A break, you can expand it by multiplying numerator and denominator with the same number. You can reduce by dividing numerator and denominator by the same number.
  • Try to always bring both denominators to the smallest common multiple or smallest common divisor. Which can be not with a glance, you multiply both the fractions with the denominator of the other. Subsequently, both fractions have the same denominator.
  • As soon as you put both fractions on the same denominator, you can add the numerators and get the result.
Add of quarries, so s is simply a

Add fractions: examples

  • Example 1: you Want to add the fractions 4/9 and 1/3, first expand 1/3 by multiplying by 3 on 3/9. The Summer of the two fractions is then 7/9.
  • Example 2: The fractions 2/5 and 5/6 add, by expanding both the fractions. 2/5 multiplied by 6 results in 12/30, 5/6 extended with 5 25/30. The result 37/30 is.
On the next page, we show you how with Excel formulas to use and calculate.

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