Answer:
[tex]\frac{52}{45}[/tex] or [tex]1\frac{7}{45}[/tex]
Step-by-step explanation:
In order to add two fractions with different denominators, you will have to find its least common denominator (LCD):
The LCD of 9 and 5 is 45.
Next, we'll start with 5/9:
Divide 45 by 9, which results in 5. Then, multiply the numerator by 5:[tex]\frac{5}{9} = \frac{5*5}{45} = \frac{25}{45}[/tex]
The same goes with 3/5:
Divide 45 by the denominator, 5, then multiply 5 by the numerator 3:
[tex]\frac{3}{5} = \frac{9*3}{45} = \frac{27}{45}[/tex]
Now, we can finally add 25/45 and 27/45 since they have the same denominator. Doing so results in a sum of 52/45:
[tex]\frac{25}{45} + \frac{27}{45} = \frac{52}{45}[/tex]
If you have to transform 52/45 into a proper fraction (which will result in a mixed fraction), then it will be [tex]1\frac{7}{45}[/tex].
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