This is kind of difficult to explain in one post, but I'll give it a shot. Pretend you have a group of fractions: 1/4, 2/8, 1/2 To organize the fractions from smallest to greatest, you first have to make them all the same denominator. The denominator is the number at the bottom of a fraction. You can make all the fractions have the same denominator by multiplying the top, by the same amount you multiply the denominator (multiply the denominator into the smallest number that can be divided into every fraction's denominator) Like this. 1/4, 3/8, and 1/2.. The number that all the denominators can divide into is 8. So, to make the fractions have the denominator of 8, you have to multiply the denominator with a number that will make it 8. However, when you multiply the bottom, you must also do it to the top. It looks like this: 1x2/4x2, 3x1/8x1, 1x4/2x4 After you calculate that, it will look like this: 2/8, 3/8, 4/8. After they are all the same denominator, just order them from lowest to greatest by how big the top number is. That will look like: 2/8, 3/8, 4/8. This is because 2 is the smallest, then it's 3, then its 4. I hope that helped you understand. Another method (easier) Convert the fractions into decimals. You can use a calculator. This will allow you to sort them from smallest to largest just by comparing their decimal conversions or approximations.
Example: 1/4 = .250, 3/8 = .375, 1/2 = .500. This lets you compare the fractions by comparing their relative amounts. Comparing fractions with different denominators is like comparing apples and grapes.
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Various methods: * Convert the fractions into equivalent fractions with the same denominator; then order by smallest numerator to largest; * Convert the fractions to [approximate] decimals by dividing the numerators by the denominators; then order by the smallest decimal to largest; * Divide the denominators by the numerators; then order by the largest result to the smallest. In all cases list the original fractions.
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
In order from smallest to largest these are arranged: 0.02 0.19 0.2
Smallest 0.007 0.5 0.63 Largest 0.7
put these in order 0.83 0.8 0.831 0.803 ff