Using operations with fractions, it is found that the possible steps are:
The equation given is:
[tex]5\frac{1}{2}x + \frac{2}{3}x = 37[/tex]
The improper fraction can be written as:
[tex]5\frac{1}{2} = \frac{5\times 1 + 2}{2} = \frac{11}{2}[/tex]
Then:
[tex]\frac{11}{2}x + \frac{2}{3}x = 37[/tex]
Applying the least common multiple:
[tex]\frac{33x + 4x}{6} = 37[/tex]
[tex]\frac{37x}{6} = 37[/tex]
[tex]37x = 37 \times 6[/tex]
[tex]x = \frac{37 \times 6}{37}[/tex]
[tex]x = 6[/tex]
Hence, options B, D and E are correct.
To learn more about operations with fractions, you can take a look at https://brainly.com/question/304550
