Publisher: Taro-Jiro Co.
1st edition: 2000
In this book, a fraction is defined as a way to express a common measure between a standard unit (such as one meter) and a quantity one wishes to measure. Building on this, the book presents a consistent, logical framework: finding a common measure between different fractions corresponds to *tsūbun* (finding a common denominator); reducing a fraction to its largest common measure corresponds to *yakubun* (simplifying a fraction); and calculating the area of a rectangle—where one side represents a "quantity per unit" and the other represents the "number of units"—corresponds to the multiplication of fractions.
Furthermore, the division of fractions—often considered the greatest hurdle in elementary arithmetic—is explained through the use of "tile diagrams," a signature feature of the *Rakuraku Sansū Book* (Easy Arithmetic Book) series. By transforming these diagrams, the book makes it intuitively clear why the process involves "flipping the fraction and multiplying."
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