Write the repeating decimal as a fraction..24949494…

To write the repeating decimal as a fraction, we can follow these steps:

Step 1: Let's denote the repeating decimal as "x".

Step 2: Multiply both sides of the equation by a power of 10 that is equal to the number of digits in the repeating part. In this case, the repeating part has 2 digits, so we multiply by 100.

100x = 24.949494...

Step 3: Subtract the original equation from the equation obtained in step 2 to eliminate the repeating part.

100x - x = 24.949494... - 0.24949494...

Simplifying, we get:

99x = 24.7

Step 4: Divide both sides of the equation by 99 to solve for x.

x = 24.7 / 99

Step 5: Simplify the fraction if possible. In this case, we can divide both the numerator and denominator by 0.1 to get rid of the decimal.

x = 247 / 990

Therefore, the repeating decimal 0.24949494... can be written as the fraction 247/990.