an art student uses a roll of wallpaper to decorate two gift boxes the student will use 1 1/3 yards of paper fo one box and 5/6 yars of paper for the other box the paper must be cut into pieces that are 1/6 yard long how many pieces will the student cutr to use for the gift boxes

Respuesta :

Answer:

13 pieces

Step-by-step explanation:

step 1

Convert mixed number to an improper fraction

[tex]1\frac{1}{3}\ yd=\frac{1*3+1}{3}=\frac{4}{3}\ yd[/tex]

Multiply by 2/2

[tex]\frac{4}{3}(\frac{2}{2})=\frac{8}{6}\ yd[/tex]

step 2

Adds 8/6 yd and 5/6 yd

[tex]\frac{8}{6}+\frac{5}{6}=\frac{13}{6}\ yd[/tex]

step 3

Divide the total length of paper used by 1/6 to obtain the number of pieces

[tex](\frac{13}{6})/(\frac{1}{6})=13\ pieces[/tex]