Respuesta :
11 4/5 because when you add 11 3/5, 15 1/5, and 9 2/5 together you get 36 1/5 and since you are cutting that much off you subtract that from 48 which is 11 4/5.
Answer:
[tex]11\frac{4}{5}[/tex] inches
Step-by-step explanation:
John has a strip of wood that is 48 inches long.
He needs to cut three strips of wood that is
[tex]11\frac{3}{5}[/tex] inches, [tex]15\frac{1}{5}[/tex] inches and [tex]9\frac{2}{5}[/tex] inches long.
The total length of strips he needed = [tex]11\frac{3}{5}[/tex] + [tex]15\frac{1}{5}[/tex] + [tex]9\frac{2}{5}[/tex]
= [tex]\frac{58}{5}[/tex] + [tex]\frac{76}{5}[/tex] + [tex]\frac{47}{5}[/tex]
= [tex]\frac{58+76+47}{5}[/tex]
= [tex]\frac{181}{5}[/tex]
= [tex]36\frac{1}{5}[/tex]
He used [tex]36\frac{1}{5}[/tex] inches to cut three strips.
Now the leftover piece = 48 - [tex]36\frac{1}{5}[/tex]
= 48 - [tex]\frac{181}{5}[/tex]
= [tex]\frac{240-181}{5}[/tex]
= [tex]\frac{59}{5}[/tex]
= [tex]11\frac{4}{5}[/tex]
The leftover piece would be [tex]11\frac{4}{5}[/tex] inches
