How do you order these fractions smallest to largest: 22/25, 8/9, 7/8?
2 Answers
The answer is :
In order to see which one is larger than another, you need to put them all to the same denominators :
Therefore,
Same idea, but less actual arithmetic. (Is it easier? Probably not, but the arithmetic is easier, because we don't finish much of it.)
We can order them, pairwise (two at a time).
First the easy pair
The least common denominator is
So
(At the end, we won't need this as a separate step, but it's not difficult to do.)
Second Pair
(Note: it is even quicker to observe that
The least common denominator is
The numerators are:
Whatever
Third pair
Numerators:
Adding
Final Answer