INTRODUCTION: After 800 AD a 2,800 year old ciphered numerals system was modified. The phased-out ciphered Egyptian, Greek and Hellene number system scaled n/p by LCM m to (mn/mp) before concise 2-term, 3-term, 4-term and 5-term unit fraction series were recorded. The region-wide ciphered numeral system scaled rational numbers n/p by LCM (m/m) to mn/mp that calculated concise finite unit fraction series. The system wrote concise unit fraction series inspected the best divisors of mp that summed to mn. The best unit fraction series were often not intuitive, and thus difficult for modern scholars to report as originally computed.
After 800 AD the medieval system scaled non-ciphered rational numbers n/p by LCM m in a subtraction context. The modified system recorded Arabic Ghobar script symbols. Replacement Hindu-Arabic symbols scaled rational numbers n/p by subtracting LCM m to (mn - p)/mp that obtained 2-term and 3-term series. The modified unit fraction system set remainder numerator (mn -p) equal to 1 (unity) whenever possible within finite arithmetic statements like: