#1**+1 **

what is bigger 4/5 or 6/7

**Hello Guest!**

\(\frac{4}{5}=\frac{28}{35}\\ \frac{6}{7}=\frac{30}{35}\)

\(\frac{6}{7}\ is\ bigger\ then\ \frac{4}{5}\)

!

asinus Jan 19, 2020

#2**+2 **

You can also do this without making a common demoninator. If the numbers were increased to i.e something like 15234/15235 and 15676/15677, finding the common denominator would be reduntant and be extremely time confusing. Instead, we can notice that both the fractions are 1/n away from 1. 1/5 is clearly greater than 1/7, as spliting the same thing into 5 things compared to 7 things, is clearly greater. Thus, we are subtracting 1/5 from 4/5, SOMETHING THAT is greater than subtracting 1/7, so therefore 6/7 is greater .

USAMO2019 Jan 20, 2020