Add and Subtract Rational Expressions with Unlike Denominators · Exercise 83

Decorating cupcakes Victoria can decorate an order of cupcakes for a wedding in $t$ hours, so in 1 hour she can decorate $\frac{1}{t}$ of the cupcakes. It would take her sister 3 hours longer to decorate the same order of cupcakes, so in 1 hour she can decorate $\frac{1}{t+3}$ of the cupcakes.

ⓐ Find the fraction of the decorating job that Victoria and her sister, working together, would complete in one hour by adding the rational expressions $\frac{1}{t}+\frac{1}{t+3}.$
ⓑ Evaluate your answer to part (a) when $t=5.$

OpenStax, Elementary Algebra 2e · §8.4 Add and Subtract Rational Expressions with Unlike Denominators · Exercise 83