Since we have that:
![(1)/(2)\colon(1)/(3)](https://img.qammunity.org/2023/formulas/mathematics/college/4d3sp64twrvqrysw6o1i0cns7l36z1g2gs.png)
to find the ratio for 1 cup, we do the division like this:
![(1)/(2)_{}\colon(1)/(3)\Rightarrow((1)/(2))/((1)/(3))=(3)/(2)](https://img.qammunity.org/2023/formulas/mathematics/college/kwch2kxog59jzo3yrzt1unq9lgzelwvch3.png)
This means that the new ratio is 3:2, therefore, for 3 cups of cranberry juice, Ann will need 2 cups of orange juice. Then, we have that for one cup of orange juice, there have to be 1.5 cups of cranberry juice.