When you start a course in Arithmetic, you start with the basics: counting, and the four operations (addition, subtraction, multiplication, division). At this stage, very few people struggle with the concepts; difficulties usually only arise in accuracy and speed, where people struggle to get a question correct in the minimum possible time.
Fractions are usually the first conceptual stumbling block for any student of elementary arithmetic making the transition to intermediate levels of study. The relatable everyday analogy of half a cake or a quarter hour are easily understood, but reduction of a fraction to lowest terms, addition and subtraction of fractions, and any other fraction operation: these are not intuitively grasped by over half the students in a typical primary or middle school classroom.
The key to a better understanding of this crucial set of concepts is to have the student put in more time in practice drills of slowly increasing levels of complexity. Just like multiplication tables seem hard to commit to memory at first, but become much easier when something clicks in your head, fraction operations are similarly easily mastered once you have made the whole procedure for any set of operations second nature for your brain. It is then easier to unpack what is happening in the sequence of steps, and how exactly that all makes sense in the larger scheme of things.
This book is intended for any intermediate mathematics learner: whether you are encountering these concepts for the first time, or you are an adult looking to refresh certain crucial concepts, you are welcome here!
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