How to convert 3.248 repeating decimal with 48 repeating into a simplified fraction

Step-by-step explanation:

Step 1: let's call the repeating decimal.

So,

Step 2: identify the number of digits that repeats.

We see that two digits repeat 4 and 8.

Step 3: multiply 100 at each side of the equation, two digits, two zeros, that's why is 100.

Step 4: we subtract the repeating decimal the last expression:

Step 5: solve for .

In this case, we have to multiply each part of the fraction by 10 to get rid of the decimal number.

Therefore, the repeating decimal is equal to