3 5/6 yards of the material is left.
Step-by-step explanation:
Step 1 :
Total material = 12 1/2
Change the improper fraction into proper fraction,
= ((2[tex]\times[/tex]12)+1) / 2
= (24+1)/2
= 25/2
Step 2 :
Used material = 8 2/3
Change the improper fraction into proper fraction,
= ((3[tex]\times[/tex]8)+2) / 3
= (24+2)/3
= 26/3
Step 3 :
Remaining material left = Total - used
= 25/2 - 26/3
= 25(3) - 26(2) / (2[tex]\times[/tex]3)
= 75-52 / 6
= 23 / 6
Step 4 :
Dividing 23/6 the quotient is 3 and remainder is 5
The material left =3 5/6 yards
