What do you do after shifting the recurring part in a complex recurring decimal conversion?

In the process of converting a complex recurring decimal to a fraction, shifting the recurring part involves creating two equations to represent the decimal.

The first equation usually expresses the entire decimal, while the second equation is formed by shifting the decimal point to the right, depending on the length of the recurring part. For instance, if the recurring part consists of several digits, you would multiply the equation by a power of ten that matches the number of recurring digits.

After forming these two equations, the next step is to subtract one equation from the other. This subtraction will eliminate the variable part, enabling you to isolate the non-recurring part of the decimal. Consequently, you can express the original complex recurring decimal as a fraction by solving the resulting equation.

This method effectively simplifies the conversion process, making subtraction the critical step following the shifting of the recurring part.