Question

Use mental math to compare five-sixteenths and thirteen-eighteenths. Explain how you arrived at your answer.

Answer 1

What is larger, five-sixteenths or one-half?
What is larger, thriteen-eighteenths or one half?

Answer 2

\[\large \large \frac{ 5 }{ 16 } \frac{ 13 }{ 18 }\] Which one is bigger? Well, there's 2 way you can tell. Which fraction is greater than 1/2? Half of 18 is 9. 13 is greater than 9. So 13/18 is more than 1/2.
Half of 16 is 8. 5 is less than 8. So 5/16 is less than 1/2.
Another way you can do this is by doing cross multiplication: I recommend choosing the first option because it's easier.
I hope this help!