To convert complex recurring decimals into fractions, what is the first step?

Disable ads (and more) with a premium pass for a one time $4.99 payment

Prepare for the GCSE Maths Exam with our interactive quizzes. Study with a variety of questions and detailed explanations. Enhance your skills and boost your confidence before the exam day!

The first step in converting complex recurring decimals into fractions is to define the decimal as a variable, often denoted by x. By doing this, you establish a clear representation of the decimal number you are working with. This allows you to manipulate the equation effectively in subsequent steps.

Once the decimal is represented as a variable, you can then multiply by a power of 10 based on the number of digits in the repeating section, which helps in eliminating the decimal point when forming a related equation. This structured approach is essential for systematically converting the recurring decimal into a fraction, allowing you to isolate and solve for x.

When looking at the other options: directly converting a complex recurring decimal to a simple fraction without a proper method would not yield an accurate result. Multiplying by 10 before defining the decimal does not provide a foundation to work from. Ignoring the recurring part would lead to an incomplete representation of the number, preventing you from accurately converting it into a fraction.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy