John needs to cut three strips of wood, inches, inches, and inches long. He has a strip that is inches long. How long will the leftover piece be after he cuts what he wants?

Respuesta :

Answer:

the left over piece is [tex]11 \frac{4}{5}[/tex] inches

Step-by-step explanation:

The computation is shown below:

The total length of the strips is

[tex]= 11 \frac{3}{5} + 15 \frac{1}{5} + 9 \frac{2}{3} \\\\= \frac{58}{5} + \frac{76}{5} + \frac{47}{5}\\\\= \frac{58 + 76 + 47}{5}\\\\= \frac{181}{5}\\\\= 36 \frac{1}{5}[/tex]

The left over piece would be

[tex]= 48 - 36 \frac{1}{5}\\\\= 48 - \frac{181}{5}\\\\= \frac{240 - 181}{5}\\\\= \frac{59}{5}\\\\= 11 \frac{4}{5}[/tex]

Hence, the left over piece is [tex]11 \frac{4}{5}[/tex] inches