Leo is correct.
To convert the repeating decimal 2.55555... into a fraction, we can label it as x and solve the equation:
x = 2.555555...
If we multiply both sides of the equation by 10, we get:
10x = 25.555555...
Now, we subtract the first equation (x) from the second equation (10x):
10x - x = 25.555555... - 2.555555...
9x = 23
Dividing both sides of the equation by 9:
9x/9 = 23/9
x = 23/9
Therefore, the correct fraction representation of 2.555555... is 23/9. This matches Leo's fraction of 2 55/99.
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