Easier method to compare fractions
When we want to compare fractions, we often need to know which fraction is larger or smaller.
a/b > c/d OR a/b < c/d ?
In order to solve this quickly, we can use cross-multiplication to determine which fraction is larger or smaller.
ad ? bc .
If ad > bc, then the fraction on the left ( that is a/b ) is larger. If ad < bc, then the fraction on the right ( that is c/d ) is larger. And if ad = bc, then the two fractions are equilavent.
Here is your example :
Which is greater : 7/9 or 5/6 ?
By using cross-multipication, we compare 7×6 and 9×5.
7×6 = 42.
9×5 = 45.
Since 42 < 45, the fraction on the right is greater.
So the answer is 5/6 .