Answer:
[tex]\frac{7}{8}[/tex] cups of sugar.
Step-by-step explanation:
We have been given that Adrian's recipe for cranberry relish calls for [tex]1\frac{3}{4}[/tex] cups of sugar. He wants to use 1/2 that amount.
First of all let us convert our given mixed fraction into improper fraction.
[tex]1\frac{3}{4}=\frac{1\cdot3+4}{4}=\frac{3+4}{4}=\frac{7}{4}[/tex]
Since Adrian wants to use half of the sugar, so we need to divide [tex]\frac{7}{4}[/tex] by 2 to find the amount of sugar he should use.
[tex]\text{Amount of sugar that Adrian should use}=\frac{7}{\frac{4}{2}}[/tex]
[tex]\text{Amount of sugar that Adrian should use}=\frac{7*1}{4*2}[/tex]
[tex]\text{Amount of sugar that Adrian should use}=\frac{7}{8}[/tex]
Therefore, Adrian should use [tex]\frac{7}{8}[/tex] cups of sugar.
