The simplest one to use is cross multiplication.
Suppose a/b and c/d are two fractions with positive integers a, b, c and d.
Then
a/b > c/d if and only if a*d > b*c
a/b = c/d if and only if a*d = b*c
a/b < c/d if and only if a*d < b*c
Other methods, such as equalising the numerator or denominator, or converting to decimal will, in general require more effort.
Rational numbers are (basically) fractions. You can compare any two fractions by converting them to fractions with a common denominator, and then comparing their numerators.You can also convert them to their decimal equivalent (just divide numerator by denominator); that also makes them fairly easy to compare.
As fractions are numbers you would use the same methods as any other comparison or ordering of numbers. Largest to smallest or smallest to largest are the most likely ways
To compare any two fractions they first need to be converted to numbers on a similar basis: Convert both to decimals: the smaller decimal is the smaller fraction. Find equivalent fractions with the same denominator: the fraction with the smaller numerator is the smaller number. Find equivalent fractions with the same numerator: the fraction with the larger denominator is the smaller number. I recommend that the last of these is used for integral reciprocals (comparing 1/2, 1/4, 1/7 etc) or by more proficient users.
I assume you mean, with different denominators. If you want to add the fractions, subtract them, or compare them (determine which one is greater), you have to convert them to similar fractions (fractions with the same denominator) first. Converting to similar fractions is not necessary, and usually doesn't even help, if you want to multiply or divide fractions.
Assuming the fractions are "normalized" (the fractional part is less than 1): First compare the integer part. If the integer part is the same, you need to compare the fractions. If the denominator of the fractions is different, you have to convert to a common denominator. The simplest way to find a common denominator is to multiply both denominators (i.e., you don't need the LEAST common denominator - any common denominator will do).
If the fractions have different denominators, you need to: 1) Convert to equivalent fractions with a common denominator, 2) Compare the numerators. If the fractions already have the same denominator, there is no need for the first step - which happens to be the most difficult step. Note that as a shortcut, you don't need the LEAST common denominator, any denominator can do. Thus, you can just use the product of the two denominators as the common denominator. As a result, to compare the fractions, you simply multiply the numerator of each fraction by the denominator of the other one, and then compare. However, this is still more work than simply comparing two numbers.
Find the lowest common denominator. Once their denominators are the same, the one with the larger numerator is the largest.
Monitoring a new strategy in it's launch all the way through it's completion phase is vital to compare the new strategy against past strategies. Monitoring this will better show and demonstrate the effectiveness or non-effectiveness of the new strategy. Any new strategy should always be monitored.
yah sure you can use any even number
You need to be able to compare two fractions at a time, to see which one is greater. One way to do this is to convert two fractions at a time to a common denominator. It need not be the least common denominator - any common denominator will do, therefore you can just multiply the two denominators. Another way to compare fractions is to convert them to decimal. This can quickly be done with a calculator.
fractions that can not be simplified any more
The process of strategy evaluation consists of three activities: 1 - Review the basic factors on which strategy was formulated and check that does there is any change in those factors. 2 - Compare the actual performance with budget performance. 3 - Take corrective actions according to requirements.