You can use the same notation and ordering for fractions as you do integers. The difficulty with fractions is that in most cases you need to find eqivalent denominators to see how they rank. Ie. If I said order for smallest to largest 2/3, 1/6, 72/96 and 24/48. It would be difficult without finding some similar base (is 2/3>72/96?). Instead if you conver them into a common base... 8/12, 2/12, 9/12, 6/12. Now you can easily order and/or compare the fractions.
You can convert them to equivalent fractions with like denominators, then simply compare the numerators.You might also convert each fraction to a decimal (divide the numerator by the denominator); then you can also compare them.
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
When the numbers are greater than 1
In order to multiply fractions with variables, factor all numerators and denominators completely. Use the rules for multiplying and dividing fractions, cancel any common factors, and leave your final answer in factored form.
There are 137 jobs that use fractions.
You can convert them to equivalent fractions with like denominators, then simply compare the numerators.You might also convert each fraction to a decimal (divide the numerator by the denominator); then you can also compare them.
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
No, Roman numerals were not designed to represent fractions. They are mainly used for whole numbers and are not suitable for precise mathematical calculations involving fractions. For fractions, it is best to use decimal or fractional notation.
Yes.
Because decimals are a form you use regularly like with money, but with fractions, its not used all the time such as a decimal is used.
When the numbers are greater than 1
To compare decimals: look at the highest-order digit and compare. If it is the same, look at the next digit, and so forth. Thus, 23.5 is greater than 11.4 (because the tens digit is greater), 123.88 is greater than 25.82 (because the second number has no hundreds digit, so you can take it to be zero), 115.28 is greater than 113.99 (the first two digits are equal, so you compare the third digit). To compare fractions: use a calculator to convert to decimals, then compare. Alternately, you can convert to a common denominator, then compare the numerators.
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.
its 5.5 rather than 5 and a half (or 5 1/2) It means that you represent fractions of numbers in tenths (and hundredths, thousandths, etc) rather than in fractions (or in eighths or twelfths or some such). the above notation would be expected in the US. However, in Europe, the notation would be 5,5 for 5 and a half. Basically, the Europeans reverse the use of comma and period in their decimal notation.
You can use the same symbols that you use to compare integers or decimals: equal, greater than, greater-than-or-equal, etc.
Yes, regularly.