Change the decimal to a fraction: 0.2626262626...(1 point)

Answer 1

Let's call the decimal number x.

x = 0.2626262626...

To convert the decimal to a fraction, we can set up an equation:

100x = 26.2626262626...

Now, we subtract the original equation from this new equation to eliminate the repeating decimal:

100x - x = 26.2626262626... - 0.2626262626...

Simplifying both sides:

99x = 26

Now, we can solve for x by dividing both sides by 99:

x = 26/99

Therefore, the decimal 0.2626262626... is equivalent to the fraction 26/99.