One way to add two fractions is to multiply the numerators of both fractions with each other's denominator, then adding the two products, gives us the numerator of the final result. Then we multiply together the denominators of each other--this gives us the denominator of the final result.(adsbygoogle = window.adsbygoogle || []).push({});

Consider this example:

[tex]

\frac{2}{3} + \frac{4}{5} = \frac{(5\times2)+(3\times4)}{(3\times5)} = \frac{22}{15}

[/tex]

Why are we able to do that? I'm not looking for a rigorous proof, just the intuition behind it.

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# Intuition behind a method of adding two fractions

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