Di and Leo both write the decimal 2.55555555.. As a fraction.
Di’s fraction: 2 55/100
Leo’s fraction: 2 55/99
Who is correct and why?
1 answer
Leo is correct because the decimal 2.5555... can be represented as a repeating decimal with a pattern of 5's. To convert a repeating decimal to a fraction, the repeated part is placed over a number of 9's equal to the number of digits in the repeated part. In this case, there is one digit in the repeating part (5), so the fraction is 55/99. Therefore, Leo's fraction of 2 55/99 is the correct representation of the decimal.
1 answer