Answer: Tthe greatest number of decorations can Fred make = 46
Step-by-step explanation:
Total yarn = [tex]5\dfrac34[/tex] feet [tex]=\dfrac{23}{4}[/tex] feet
Yarn required for each decorartion = [tex]\dfrac18[/tex] foot
The greatest number of decorations can Fred make = (Total yarn) ÷ (Yarn required for each decorartion)
[tex]=\dfrac{\dfrac{23}{4}}{\dfrac{1}{8}}\\\\\\=\dfrac{23}{4}\times8\\\\=23\times2\\\\=46[/tex]
Hence, the greatest number of decorations can Fred make = 46
