Martinez bought 8 3/4 yd of fabric. She wants to make a skirt using 1 7/8 yd, pants using 2 3/8, and a vest using 1 2/3 yd.How much fabric will be left over? Please help ASAP!!! :(

Answer 1

Least common multiple of 4 , 8 and 3 is 24

Write:

8 3/4 as 8 3 ∙ 6/ 4 ∙ 6 = 8 18/24

1 7/8 as 1 7 ∙ 3/ 8 ∙ 3 = 1 21/24

2 3/8 as 2 3 ∙ 3/ 8 ∙ 3 = 2 9/24

and

1 2/3 as 1 2 ∙ 8/ 3 ∙ 8 = 1 16/24

Martinez use:

1 7/8 + 2 3/8 + 1 2/3 = 1 21/24 + 2 9/24 + 1 16/24 =

1 + 2 + 1 + 21 / 24 + 9 / 24 + 16 / 24 = 4 + 46 / 24 =

4 + ( 24 + 22 ) / 24 = 4 + 24 / 24 + 22 / 24 =

4 + 1 + 22 / 24 = 5 22/24yd

Leftover = 8 3/4 - 5 22/24 = 8 18/24 - 5 22/24 =

7 + 1 + 18 / 24 - 5 22/ 24 = 7 + 24 / 24 + 18 / 24 - ( 5 + 22 / 24 ) =

7 + 42 / 24 - 5 - 22 / 24 = 7 - 5 + 42 / 24 - 22 / 24 = 2 + 20 / 24 =

2 + 4 ∙ 5 / 4 ∙ 6 = 2 + 5 / 6 = 2 5/6 yd