Question

is 89.777...

Answer 1

It seems like you might be referring to the repeating decimal 89.777..., which can be expressed as 89.777... = 89.7777777..., where the digit "7" repeats indefinitely.

This can also be converted into a fraction. To convert a repeating decimal to a fraction, you can use the following method:

Let \( x = 89.777... \).

Then, to isolate the repeating part, multiply by 10 (since one digit is repeating):

\[
10x = 897.777...
\]

Next, we can subtract the original \( x \) from this equation:

\[
10x - x = 897.777... - 89.777...
\]

This simplifies to:

\[
9x = 808
\]

Now, we can solve for \( x \):

\[
x = \frac{808}{9}
\]

So, the decimal \( 89.777... \) can be expressed as the fraction \( \frac{808}{9} \). If you have a different focus or need further clarification on this value, please let me know!