Question

Antonio completed the right column of the table to help him find the sum of 2/9 and 1/5. In which step did his first error occur?

Answer 1

Step 1

Explanation:

His first error occurred in step 1.

The common denominator of
`(2)/(9)` and
`(1)/(5)` is 45, and not 14.

Common denominator of both fractions, is a number of which both 9 and 5 are its factor. That is, it is a common multiple of 9 and 5.

45 can be divided by 9 without remainder. Also 45 can be divide by 5 without a remainder.

45 would make both fractions common not 14.