Di and Leo both write the decimal 2.55555555.. As a fraction.
Di’s fraction: 2 55/100
Leo’s fraction: 2 55/99
Leo is correct because a repeating decimal typically has 9s in the denominator
Who is correct and why?
1 answer
Leo is correct. A repeating decimal can be expressed as a fraction with the repeating digit(s) in the numerator and a denominator of all 9s. In this case, since the decimal 2.55555555.. repeats with the digit 5, it can be written as the fraction 55/99.
1 answer