Add the rational expressions and type your answer in simplest form. When typing your answers, type your terms with variables in alphabetical order without any spaces between your characters. \frac{4}{x} + \frac{10}{y} The numerator is AnswerThe denominator is Answer

Notice that since both fractions have a different denominator, we cannot add them directly. what we will do is that we are going to multiply each fraction by a specific value, so we have that both fractions have the same denominator. Let us multiply the first fraction (from left to right) by y on both the numerator and the denominator. We get

[tex]\frac{4y}{xy}[/tex]

and let us multiply the other fraction by x on both the numerator and the denominator. We get

[tex]\frac{10x}{xy}[/tex]

So we have the equivalent sum

[tex]\frac{4y}{xy}+\text{ }\frac{10x}{xy}[/tex]

now, as both fractions have the same denominator, we can simply add the numerators to form the new fraction. So we have that

[tex]\frac{4}{x}+\frac{10}{y}=\frac{4y}{xy}+\frac{10x}{xy}=\frac{4y+10x}{xy}[/tex]

so the numerator of the result is 4y+10x and the denominator is xy