We are given that a receipt has 3/4 of white sugar out of 2 and 1/2 cups. First, we will rewrite 2 and 1/2 cups:
[tex]2\text{ and 1/2=2+1/2}[/tex]Now we will multiply by 3/4:
[tex]\frac{3}{4}(2+\frac{1}{2})[/tex]Using the distributive property:
[tex]\frac{3}{4}\times2+\frac{3}{4}\times\frac{1}{2}[/tex]Solving the operations:
[tex]\frac{6}{4}+\frac{3}{8}[/tex]Multiplying the first fraction by 2/2:
[tex]\frac{12}{8}+\frac{3}{8}[/tex]Now we add the numerators and leave the same denominator:
[tex]\frac{12}{8}+\frac{3}{8}=\frac{15}{8}[/tex]We can rewrite this fraction as:
[tex]\frac{15}{8}=\frac{7+8}{8}=\frac{7}{8}+1=1\text{ 7/8}[/tex]Therefore, there are 1 7/8 of white su