Question

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

Answer 1

13 pieces

Explanation:

step 1

Convert mixed number to an improper fraction

`1(1)/(3)\ yd=(1*3+1)/(3)=(4)/(3)\ yd`

Multiply by 2/2

`(4)/(3)((2)/(2))=(8)/(6)\ yd`

step 2

Adds 8/6 yd and 5/6 yd

`(8)/(6)+(5)/(6)=(13)/(6)\ yd`

step 3

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

`((13)/(6))/((1)/(6))=13\ pieces`