Question

Which of the following expresses 2.4 as a fraction in simplest form ?

Answer 1

Answer:

its 2 4/9

Step-by-step explanation:

because i did trial and error, i converted all the fractions into decimals until one of the conversions was equal to 2.444444444444...infinite

Answer 2

$2 \frac{4}{9}$ would be the correct answer.

This is not 2.4. This is "2.44444..." because of the line over the 4 after the decimal place (this applies for any decimal such as $2.48\overline{47} = 2.484747474747...$).

In general, the over-lined part can be written as a fraction of 9 (99, 999, 9999, etc. if the over-lined part has more than one digit, in increasing order of digits), which is why $2 \frac{4}{9}$ is the correct answer.