Ordering Fractions

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Learning about fractions is one of the basic and important topics in math. A fraction is number written in “p/q” form. Where ‘p’ is the numerator and 'q' is the denominator of the fraction. The denominator of a fraction cannot be equal to zero i.e. q not equal to zero. Fractions can be compared by checking if the fractions are lesser than, greater than or equivalent to each other. Fractions can be ordered after comparing them to each another. Ascending order or descending order can be used to order any group of fractions.

Example 1: Order the following fractions from smaller to larger fraction:
3/11, 8/11, 4/11, 1/11, 10/11. 
Solution: Given are five fraction 3/11, 8/11, 4/11, 1/11, 10/11 in random order.
Arranging from smaller to larger is called as ascending order.
Since the denominator is the same compare the numerators of the two fractions.
The fraction with the smaller numerator is the smaller fraction.
This gives 1/11 < 3/11 < 4/11 < 8/11 < 10/11.
Hence, ascending order of the fractions is: 1/11, 3/11, 4/11, 8/11, 10/11.
Question: Multiple choice question (Pick the correct option.)
Order the fractions 4/5, 1/5 and 2/5 from greater to smaller?
a)    1/5, 2/5, 4/5                b) 4/5, 1/5, 2/5           c) 4/5, 2/5, 1/5           d) None of these.
Correct answer: option c.
 Explanation: In the given question the denominators are the same compare the numerators of the three fractions.
The fraction with the greater numerator is the greater fraction.
This gives 4/5 > 2/5 > 1/5.

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