In order to determine which is bigger, 1/2 or 5/7, there are two different techniques (both provide the same answer).
First, we could find a common denominator for both fractions. Once we have a common denominator, we can compare the numerator for 1/2 and 5/7. If the denominator is the same for both fractions, whichever has a larger numerator is the larger fraction.
Second, we could also divide 1 by 2 and get 0.50. Then we divide 5 by 7 and we get 0.71 (rounded). This also allows us to see that 5/12 is a larger fraction than 1/2.
The benefit of using a calculator to change the fraction to a decimal (or you could do it by hand) is that it works on fractions that are similar. For example, 4/11 and 5/12.
Either way, the fraction 5/7 is greater than the fraction 1/2.
![](https://i.ytimg.com/vi/wVyiwQgUchs/maxresdefault.jpg)