In our last video, we learned how to compare integers and decimals using inequality symbols. Now we're going to look at comparing fractions. The strategy is a little bit different than when we're working with integers and decimals. Let's take a look. Let's compare seven tenths and three tenths. The first thing that we want to look at are the denominators of the fractions, which are the bottom numbers. If the denominators are the same, in this case both denominators are ten, they do have the same denominators. Then we only need to compare the numerators. So our numerators are seven and three. Seven is greater than three, so that means that 7/10 is greater than 3/10. Now, with this comparison we have different denominators. So we can't just go straight to the numerators like we did in the last example. First we want to find a common denominator. So what's a common denominator between 20 and 5? We're really saying, what's a common multiple of 20 and 5? Well, they both have the number 20 as a common multiple. So how can we make that fraction on the right have a denominator of 20? We can multiply the numerator and denominator by four. That would make this fraction twelve twentieths. It's still equivalent to the three fifths. So we haven't changed the value, but we made sure that it has the same denominator of 20. So now let's just bring down everything from that top part just so that we can see both fractions side by side. So now they both have the same denominator of 20. So we can compare the numerators. Nine is less than twelve, so we would use a less than symbol. So we could say 9/20 is less than 12/20. Or if we look at our original fractions, we would say 9/20 is less than three fifths. So just remember, when it comes to comparing fractions, you want to make sure that both fractions have the same denominator. If they don't, you can find a common denominator for them. And then you just need to compare the numerators to see which fraction is greater or less than the other.