Fraction ratio conversion method:
For decimals and fractions, we can convert decimals into fractions for comparison. For example, if 0.5 is converted into decimal form, that is, 1/2, it can be seen that 0.5 is less than 1/2. Therefore, in this method, all decimals are greater than their corresponding fractions.
Fraction method:
The total score method is also a method to compare decimals and fractions. The basic idea of this method is to separate two fractions and then compare their molecules. For example, we compare 0.8 and 9/ 10. Divide these two numbers to get 8/ 10 and 9/ 10. Obviously, 8/ 10 is less than 9/ 10, so 0.8 is less than 9/ 10.
Decimal ratio fractional cross multiplication:
Cross multiplication is a more intuitive method to compare decimals and fractions. The basic idea of this method is to cross multiply by another number, such as 0.8 and 9/ 10. Cross multiplication can be understood as the reciprocal of one number multiplied by another. In this case, 0.8 can be written as 8/ 10, and then we multiply it by 10/9 (that is, the reciprocal of 9/ 10), and the result is 8/9.
Decimal ratio fractional difference method:
Difference method is a method of directly comparing decimals and fractions. The basic idea of this method is to find the difference between two numbers and then judge whether the difference is positive or negative. For example, we compare 0.8 and 9/ 10. The difference between these two numbers is 9/10-8/10 =110. Obviously, this difference is positive, so it can be concluded that 9/ 10 is greater than 0.8.
Decimal ratio score estimation method:
Estimation method is a rough comparison method based on logarithm. The basic idea of this method is to convert two numbers into a rough integer or integer part. For example, we convert 0.8 into an approximate integer form, that is, 8/ 10 or 4/5. Then we compare the size of this integer with another number. In this case, we can compare the size of 4 (that is, half of 8) and 9.