Input fractions
First fraction  
Second fraction 
Results  operations performed on given fractions
I  II  III  IV  V  
Addition 





 
Subtraction 




 0  
Multiplication 





 
Division 




 1 
Some facts
 I. Adding fractions.
 a. If both fractions have the same denominators, then simply add their numerators without changing denominator.
 b. If fractions have different denominators, then you can't add them directly. In this case you need to convert fractions to common denominator first. After that you are ready add them like in point (a).
 a. If both fractions have the same denominators, then simply add their numerators without changing denominator.
 II. Subtracting fractions.
 a. If both fractions have the same denominators, then simply subtract their numerators without changing denominator.
 b. If fractions have different denominators, then you can't subtract them directly. In this case you need to convert fractions to common denominator first. After that you are ready subtract them like in point (a).
 a. If both fractions have the same denominators, then simply subtract their numerators without changing denominator.
 III. Multiplying fractions.
 To perform fractions multiplication you have to multiply numerator of first fraction by numerator of second fraction and then denominator of first fraction by denominator of second one.
 To perform fractions multiplication you have to multiply numerator of first fraction by numerator of second fraction and then denominator of first fraction by denominator of second one.
 IV. Dividing fractions.
 a. At the beginning you need to inverse the second fraction. To achieve it  simply swap numerator and denominator in second fraction.
 b. Next, multiply first fraction by inversed second fraction  exactly like in section (III).
 a. At the beginning you need to inverse the second fraction. To achieve it  simply swap numerator and denominator in second fraction.
How to use this tool
Simply enter your fractions into form below and Calculla will compute their sum (addition), difference (subtraction), product (multiply) and quotient (division) for you. For each of those operations, Calculla will show you how to get proper result stepbystep:
 I. Remove wholes. In this step we convert mixed number to improper fraction if needed. However, if your fractions have no wholes part, we simply skip this step.
 II. Perform the appropriate action. This step depends on type of operation we're performing:
 Addition  at the beginning we bring fractions to common denominator, next we add their numerators.
 Subtraction  at the beginning we bring fractions to common denominator, next we subtract their numerators.
 Multiplication  simply we multiply numerator of first fraction by numerator of second one and denominator of first fraction by denominator of second one.
 Division  at the beginning we replace division by multiplication by the inverse, next we follow multiply steps.
 Addition  at the beginning we bring fractions to common denominator, next we add their numerators.
 III. In this step we already have proper result. However probably not in the simplest form yet, so it may be not yet final.
 IV. Remove improper fraction. If our result is an improper fraction (i.e. its numerator is greater than denominator) we pull out wholes part before fraction. In this way we create the mixed number.
 V. Reduction to the simplest form. In this step we reduce the fraction to the simplest possible form.
Tags and links to this website
Tags:
fractions_add_subtract_multiply_divide · fractions_operations · fractions_actions · operations_on_fractions · calculations_on_fractions · fractions_arithmetic_calculator
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Links to external sites (leaving Calculla?)
Ancient version of this site  links
In December 2016 the Calculla website has been republished using new technologies and all calculators have been rewritten. Old version of the Calculla is still available through this link: v1.calculla.com. We left the version 1 of Calculla untouched for archival purposes.
Direct link to the old version: "Calculla v1" version of this calculator
Direct link to the old version: "Calculla v1" version of this calculator