Chapter 4 consists of the games that require all the arithmetic skill levels through fractions. These games consist of The Clock Arithmetic Game, The Pascal's Triangle Game, The Anomalous Fractions Game, The Farey Fractions Game, and The Numberama Game. The games in Chapter 4 are appropriate in general for children in grades 6, 7, and 8, depending on their skill levels, inclusive of gifted children. These are the most challenging games in the set of Numberama Recreational Number Theory games in this book. These games can be especially stimulating for gifted children, and are an excellent way for middle school children to practice and improve upon their skills with fractions (see some of the teacher and teacher education Numberama workshop participant comments in Appendix). The Numberama Game is an excellent teaching device to practice virtually all of the Numberama Recreational Number Theory problems in Chapter 1 of this book.