Adding Fractions Calculator

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Add Fractions
I want to add fractions
+
+
= ?
Answer:

With unlike denominators find the
Least Common Denominator (LCD)

LCD = 40

Then rewrite the equation
using equivalent fractions
30
40
+
16
40
+
64
40
With like denominators
we now add the numerators

=  
30+ 16+ 64
40
=  
110
40
Simplifying our answer
=  
11
4
= 2
3
4

Adding Fractions

Adding Fractions with like Denominators

When we have the same denominator in our fractions we need only add the numerators then put the result over the common denominator.  If necessary we can then simplify it to lowest terms or a mixed number.

Adding Fractions with unlike Denominators

When we have unlike denominators, our first step is to find equivalent fractions such that all of the denominators are the same.  We find the Least Common Denominator (LCD) then rewrite all fractions in our equation to equivalent fractions using the LCD as the denominator.  Now that all denominators are alike, we solve the equation of fractions with like denominators.

For these and some more basic methods of working with fractions see also Help With Fractions.

 

Cite this content, page or calculator as:

Furey, Edward "Adding Fractions Calculator" From http://www.CalculatorSoup.com - Online Calculator Resource.