Question 21379
Hello!
This can be solved dividing 5/16 by 7/18. If the answer is greater than 1, it means that 5/16 is greater than 7/18. If the answer is less than 1, then we'll conclude that 5/16 is smaller than 7/18.

So we have:
{{{(5/16)/(7/18)}}}

Nowm recall that dividing by a fraction is the same as multiplying by its inverse. So we get that the above expression is the same as:
{{{(5/16)(18/7)}}}

Now simplify the 16 and the 18 dividing them by 2, to get:

{{{(5/8)*(9/7)}}}

The result of this multiplication is:
{{{(5*9)/(8*7)=45/56}}}

Since this fraction is smaller than 1 (because 45 is smaller than 56) we conclude that 5/16 is smaller than 7/18.


I hope this helps!

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