Answer:
She will need 1/6 of a cup of sugar to make 1/4 of the recipe.
Explanation:
Write and solve an equation of ratios. On the left side we have the ratio of the fraction of the recipe and on the right that of the amount of sugar in each case:
1 recipe 2/3 cup
------------- = -------------
1/4 recipe x
Cross multiplying gives us:
1x = (1/4)(2/3), or
x =2/12 or 1/6
She will need 1/6 of a up of sugar to make 1/4 of the recipe.