Simplification of algebraic fractions Calculator

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 Example

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Here, we show you a step-by-step solved example of simplification of algebraic fractions. This solution was automatically generated by our smart calculator:

$\frac{a}{2}+\frac{a}{3}+\frac{a}{4}$

The least common multiple (LCM) of a sum of algebraic fractions consists of the product of the common factors with the greatest exponent, and the uncommon factors

$L.C.M.=4\cdot 3=12$

Obtained the least common multiple (LCM), we place it as the denominator of each fraction, and in the numerator of each fraction we add the factors that we need to complete

$\frac{6a}{12}+\frac{4a}{12}+\frac{3a}{12}$

Rewrite the sum of fractions as a single fraction with the same denominator

$\frac{6a+4a+3a}{12}$

Combining like terms $6a$ and $4a$

$\frac{10a+3a}{12}$

Combining like terms $10a$ and $3a$

$\frac{13a}{12}$

Combine and simplify all terms in the same fraction with common denominator $12$

$\frac{13a}{12}$

 Final answer to the exercise

$\frac{13a}{12}$

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