Answer
$= \frac{7}{9}$
Work Step by Step
1. Follow the acronym PEDMAS:
P: arenthesis
E: ponents
D:ivision
M:ultiplication
A:ddition
S:ubtraction
$= $ P.E.D.M.A.S
This is used to determine which order of operations is completed first from top to bottom. For example, you would complete the division of two numbers before the addition of another two numbers. In this case, we multiply before adding:
$\frac{7}{9} \times \frac{3}{5} + \frac{7}{9} \times \frac{2}{5}$
$ = \frac{21}{45} + \frac{14}{45} $
2. Find a common denominator when subtracting: In this case, there is already a common denominator present and no further multiplication of fractions is needed. We then proceed to add the fractions.
$= \frac{35}{45}$
3. Finally we simplify the fraction:
$= \frac{7}{9}$
