Answer
Explanation
Debby has 15 yards in total to make pillow cases.
Each pillow case requires (8/9) yard.
How much yard is left after she makes as many pillowcases as she can.
1 pillowcase = (8/9) yard
We need to obtain how many pillowcases 15 yards can make.
That is obtainable by dividing 15 by (8/9).
[tex]\begin{gathered} 15\div\frac{8}{9} \\ =15\times\frac{9}{8} \\ =\frac{135}{8}=16.875 \end{gathered}[/tex]Hence, 16.875 pillowcases of (8/9) yards each, are obtainable from 15 yards.
Since pillowcases cannot exist in fraction, the 0.875 pillowcase has to be extra yards of fabric.
1 pillowcase = (8/9) yard
0.875 pillowcase = 0.875 × (8/9) = (7/8) × (8/9) = (7/9) or 0.778 yards.
Hence, the number of yards that will be left after making as many