Let's start out by tripling the original recipe to see how much butter Angie needs.
[tex] \frac{3}{4} * 3 = total[/tex]
[tex]\frac{3* 3}{4} = total[/tex]
[tex]\frac{9}{4} = total[/tex]
[tex]2 \frac{1}{4} = total[/tex]
So we need [tex]2 \frac{1}{4} [/tex] cups of butter, but Angie only has [tex]1 \frac{5}{8} [/tex]. Let's subtract what Angie has from the total to see how much more she needs.
[tex]2 \frac{1}{4} - 1\frac{5}{8} = n[/tex]
[tex]\frac{9}{4} - \frac{13}{8} = n[/tex]
we will need the least common denominator for both fractions
[tex] \frac{2}{2} *(\frac{9}{4}) - \frac{13}{8} = n[/tex]
[tex]\frac{18}{8} - \frac{13}{8} = n[/tex]
[tex]\frac{5}{8} = n[/tex]
So Angie need [tex] \frac{5}{8} [/tex] cups more of butter for the recipe.