Chapter A.3, Problem 1E

Solution

Rewrite as a single fraction.

  $\frac{5}{3}$ .

Given:

The given fraction is $\frac{5}{9}+\frac{10}{9}$ .

Concept Used:

• Rewrite the numerator and denominator so that they are each a single fraction.
• Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator.
• If needed, simplify the rational expression.

Calculation:

The given fraction is $\frac{5}{9}+\frac{10}{9}$ .

  $\begin{array}{c}\frac{5}{9}+\frac{10}{9}=\frac{5+10}{9}\\ =\frac{15}{9}\\ =\frac{5}{3}\end{array}$

Thus by simplifying $\frac{5}{9}+\frac{10}{9}$ to a single fraction it comes $\frac{5}{3}$ .