Antonio completed the right column of the table to help him find the sum of 2/ and 1/5. In which step did his first error occur?
Step ( )

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:

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:

Hence,

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: