Pure recurring decimals and mixed recurring decimals are commonly discussed in elementary number theory,but how to convert these two types of decimals into fractions is not explained.This article uses a high school proportional sequence to convert pure recurring decimals and mixed recurring decimals into fractions,and provides a calculation formula for converting pure recurring decimals and mixed recurring decimals into fractions.This provides a favorable calculation formula for converting recurring decimals into fractions in the teaching of mathematics teachers in primary and secondary schools.
关键词
初等数论/等比数列/循环小数/计算公式
Key words
elementary number theory/equal ratio sequence/recurring decimals/calculation formula