Paige bought 34 yards of yarn at the store and 2⁄9 of the yarn was blue. how many yards of blue yarn did paige buy?

For this case we observe that we have a percentage of blue thread which will be given by:
 (2/9) * (100) = 22.22222222%
 Making the following rule of three we have:
 34 > 100%
 x > 22.22222222%
 Clearing x we have:
 x = ((22.22222222) / (100)) * (34)
 x = 7.555555555
 x = 7.6
  
 Paige did buy 7.6 yards of blue yarn