Convert the repeating decimal to a/b form, where a,b are integers and b =0(there is a slash through the equal sign) 2.36(there is a line over .36)'

To convert the repeating decimal 2.36' to a/b form, where a and b are integers and b ≠ 0, you can follow these steps:

Step 1: Let x be the repeating decimal. In this case, x = 2.36'.

Step 2: Identify the non-repeating part of the decimal. In this case, it is 2. The non-repeating part is the part of the decimal that does not repeat.

Step 3: Count the number of decimal places in the repeating part. In this case, the repeating part is .36', which has two decimal places.

Step 4: Construct a fraction with the repeating part as the numerator and the number of 9s in the denominator, with the same number of digits as the repeating part. In this case, the repeating part is .36', so the denominator will be 99 (two 9s because there are two decimal places in the repeating part).

Step 5: Simplify the fraction (if possible). In this case, .36' / 99 cannot be simplified further.

Step 6: Combine the non-repeating part and the fraction from step 5. In this case, the non-repeating part is 2, and the fraction is .36' / 99. Therefore, the final result is 2 + .36' / 99.

So, the repeating decimal 2.36' can be written as 2 + .36' / 99 in a/b form, where a = 2, b = 99, and b ≠ 0.