Answer:
Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.
Step-by-step explanation:
In order to add or subtract two fractions, a common denominator is found and then the denominators of both fractions are made equal to the common denominator.
The given fractions are:
[tex]\frac{2}{9}\ and\ \frac{1}{5}[/tex]
The common denominator is the number which is the multiple off denominators of both fractions involved.
Antonio made his first error in first step. Instead of finding a common multiple denominator, he add the denominator of both fractions which is wrong.
The correct method is:
[tex]\frac{2}{9} + \frac{1}{5}\\= \frac{2*5}{9*5} + \frac{1*9}{5*9}\\=\frac{10}{45}+\frac{9}{45}\\=\frac{19}{45}[/tex]
Hence,
Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.
