Let's first convert the first number to an improper fraction so we can perform arithmetic on it:
[tex] 6\frac{3}{4} =\frac{27}{4}[/tex]
Now, let's get common denominators. Since 3/8 has a denominator of 8, we can multiply our, newly found, improper fraction by 2 to get a denominator of 8:
[tex] \frac{27}{4} *2=\frac{54}{8} [/tex]
Next, subtract (because Ed cuts the rope):
[tex] \frac{54}{8} -\frac{3}{8} =\frac{51}{8} [/tex]
Last step is to convert it back into a mixed fraction:
[tex] \frac{51}{8} =6\frac{3}{8}[/tex]
So, your final answer is 6 and 3/8. Hope I could help, and let me know if I can do anything else for you! :)
