Question

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 ( )

Answer 1

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

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:

`(2)/(9)\ and\ (1)/(5)`

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:

`(2)/(9) + (1)/(5)\\= (2*5)/(9*5) + (1*9)/(5*9)\\=(10)/(45)+(9)/(45)\\=(19)/(45)`

Hence,

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