Question

Compare the repeating decimals shown with their equivalent fractions. Describe the pattern. 0.111...(repeating)= 1/9, −0.555...(repeating)= −5/9, −1.222...(repeating)= −1 2/9, 5.888...(repeating)= 5 8/9
PLEASE SONEONE HELP ME!!!!!!!!!

Answer 1

Answer:

The pattern in decimal expressions is that the decimal numbers are repeated immediately after the decimal point.

The pattern in the equivalent fraction is that 9 is on all fractions

Step-by-step explanation:

All the cases (0.111..., −0.555...,  −1.222... and 5.888...) are solving by the following procedure (only one example is shown):

x = 0.111111...

10x = 1.11111...

10x - x = 1.11111... - 0.111111...

9x = 1

x = 1/9

which is equivalent to express the decimal part as the tenth divided by 9. Then:

−0.555...= −5/9,

−1.222...(repeating)= −1 2/9,

5.888...(repeating)= 5 8/9