Simplifying (5/k) + (k+3)/(k+5) - Easy Steps

To add these fractions, we first need to find a common denominator.For the first fraction, we multiply both numerator and denominator by k plus 5.This is valid because multiplying by k plus 5 over k plus 5 is the same as multiplying by 1.For the second fraction, we multiply the numerator and denominator by k to match our common denominator.Now both fractions have the same denominator: k times k plus 5.Here are our fractions with the common denominator. Now we're ready to add them in the next step.Now that we have our common denominator, we can move on to combining these fractions.Now that we have our fractions with a common denominator, let's expand the numerators.For the first fraction, we distribute 5 across k plus 5 in the numerator.For the second fraction, we multiply k by k plus 3 in the numerator.Now we have both fractions expanded with the same denominator.Since they have the same denominator, we can add the numerators while keeping the denominator the same.The numerator now contains all our terms: five k, plus twenty-five, plus k squared, plus three k.In the next step, we'll combine like terms in the numerator.