Comparing different fractions: Which one should I choose?

So, you already know a fair few strategies for comparing the size of fractions with different denominators:
- Draw it
- Ask whether each fraction is more or less than half
- Converting the fraction to a decimal using short division


Here's a new method for when the fractions are VERY close and which can sometimes be quicker than converting to decimals:
https://www.khanacademy.org/math/arithmetic/fractions/comparing-fractions/v/comparing-fractions-2


Try it out on these equations: Write a problem to represent each of these equations as you solve it:


3/4 + 6/8


2/5 + 8/9


2/3 - 12/30


6/8 + 10/14