Answer:
12545454/100000000
Explanation:
To express 0.12545454 in the form of p/q, where p and q are integers, we can follow these steps:
1. Let x = 0.12545454.
2. Multiply x by a power of 10 to remove the repeating decimal part. Since there are two digits repeating, we will multiply by 100 to get rid of the repetition.
x * 100 = 12.545454.
3. Subtract x from the product obtained in step 2 to eliminate the repeating part.
100x - x = 12.545454 - 0.12545454 = 12.42.
4. Now, we have the equation 99x = 12.42. Divide both sides by 99 to solve for x.
x = 12.42 / 99 = 0.125454545...
5. Notice that the decimal part in step 4 is the same as the original decimal part (0.12545454). Therefore, we can express 0.12545454 as a fraction p/q.
p/q = 0.12545454/1 = 12545454/100000000.
So, 0.12545454 can be expressed in the form of p/q as 12545454/100000000.