![]() by 1000 so that we will have decimal point to the right of the repeating digits. So, let us multiply this equation by 10 such that we will have repeating digits after the decimal point. Let us take one more example in which we would need to make three equations in order to convert the number to a fraction. Step 3: Since there are two repeating digits, multiply the above equation by 100. Step 1: The repeating digits in the given decimal number are 98. Now, let us convert a multi-digit repeating decimal to fraction. We have already discussed how to convert the first type of repeating decimals to fractions. When we consider the conversion of repeating decimal to fraction, there are two types of repeating numbers that come up. Step 3: There is only 1 repetitive digit, so multiply this equation by 10. Step 1: We can observe that 7 is repetitive in the given decimal number. Let us take an example to understand the conversion of repeating decimal to fraction in a better way. Step 4: Subtract the equation obtained in step 2 from the equation obtained in step 3.Step 3: Place the repeating digits to the left of the decimal point by multiplying the equation obtained in step 2 by a power of 10 equal to the number of repeating digits.Step 2: Equate the decimal number with x or any other variable. ![]()
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