Q. 0.235 = ?

Correct Answer: (A) 233/990

Explanation:

To solve 0.235, we need to convert the repeating decimal into a fraction.

Step 1: Represent the repeating decimal
Let x = 0.235, where 35 is the repeating part.

Step 2: Eliminate the repeating part
Multiply x by 1000 to shift the decimal point three places to the right (since the repeating part has two digits):
1000x = 235.35

Now, multiply x by 10 to shift the decimal point one place to the right:
10x = 2.35

Step 3: Subtract the two equations
Subtract 10x from 1000x:
1000x – 10x = 235.35 – 2.35
990x = 233

Step 4: Solve for x
x = 233/990

Final Answer:
The fraction representation of 0.235 is 233/990.

Correct Option: (A) 233/990