Page 2: Advanced Conversions and Mixed Numbers

This page delves into more complex conversions of recurring decimals to fractions and introduces the concept of writing recurring decimals as mixed numbers. It builds upon the methods introduced in the previous page, offering more challenging examples.

The page begins with the conversion of 0.4515151... to a fraction, demonstrating the application of the algebraic method for a three-digit recurring decimal.

Example: Converting 0.4515151... to a fraction results in 447/990, which can be simplified to 149/330.

The guide then transitions to writing recurring decimals as mixed numbers, providing a step-by-step approach for this process.

Highlight: To write a recurring decimal as a mixed number, first convert it to a fraction, then separate the whole number part from the fractional part.

Several examples of converting recurring decimals to mixed numbers are provided, serving as a practical recurring decimals to fractions worksheet with answers.

The page concludes with an exercise on ordering different representations of numbers, including fractions, recurring decimals, and terminating decimals. This exercise reinforces the importance of being able to convert between these different forms for accurate comparison.

Vocabulary: Mixed number - A number expressed as a whole number and a fraction combined.

This comprehensive guide equips students with the skills needed to handle recurring decimals to fractions questions and answers, providing a solid foundation for more advanced mathematical concepts.