Converting Repeating Decimals into Fractions (Example)

The video tutorial explains how to convert the repeating decimal 0.42 into a fraction. It begins by defining x as 0.42 repeating and then multiplies both sides of the equation by 100 to shift the decimal. By subtracting the original equation from the new one, the repeating decimal is eliminated, allowing for the solution of x. The result is x equals 42 over 99, which simplifies to 14 over 33.

What operation do you perform after setting up the equations?

What is the final simplified form of the fraction equivalent to 0.42 repeating?