Fraction Comparison Reflection

To compare fractions using cross products is very easy. All you have to do is cross diagonally and multiply. Here's an example : take two fractions, 11/16 and 9/11. Which one is larger? I cross the denominator of one fraction, to the numerator of one fraction and multiply. You do it for both denominators and numerators. This is how you multiply ➤

Which ever answer of the two multiplication problems is larger, the fraction is larger. 

So, 16 × 9 = 144

      11 × 11= 121

144 is obviously larger, so 9/11 is the larger fraction. 

To do the LCD (Least Common Denominator) method is actually even easier then the cross products method in my opinion. You just have to find the LCD of both denominators and multiply the numerators. Here's an example : take the fractions 1/5 and 4/15. Which one is larger? First, find the LCD of 5 and 15. It's 15 because 5 × 3 = 15. I did not have to do anything to the 15. So, don't change the fraction 4/15, but make the fraction 3/15 because 5 × 3 = 15 and 1 × 3 = 3. Obviously, the fraction 4/15 is larger because they are very easy to compare now, since they have the same denominators. 

It's better to use the easier method when comparing fractions. I would usually use the LCD method the denominators are low and pretty easy to fins the least common denominator of. Otherwise, I would usually use the cross products method.