How do you determine which fraction is greater 3/7 or 4/9?

To compare the value of the fractions, convert the fractions using a common denominator and then compare the numerators. The larger numerator is the fraction that has the larger value.

##3/7 ## ___ ##4/9##

Common denominator is 63 or ##7*9##.

##3/7*9/9=27/63##

##4/9*7/7=28/63##

Because 28 is greater than 27, then ##4/9## is greater than ##3/7##.

Or ##3/7 ## < ##4/9## .