Question

What is the simplified form of the quantity of x plus 4, all over 5 + the quantity of x plus 5, all over 5?

Answer 1

`(2x+9)/(5)`

Explanation:

we have

`(x+4)/(5)+(x+5)/(5)`

we know that

When fractions of equal denominator are added, the numerator of the resulting fraction is equal to the sum of the numerators keeping the same denominator.

so

`(x+4)/(5)+(x+5)/(5)=((x+4)+(x+5))/(5)=(2x+9)/(5)`