Answer:
[tex]\frac{3}{8}[/tex] cups of oil
Step-by-step explanation:
Given : A recipe requires 1/4 cup of oil for every 2/3 cup of water.
To Find: How much oil (in cups) is needed per cup of water?
Solution:
Oil required by [tex]\frac{2}{3}[/tex] cup of water = [tex]\frac{1}{4}[/tex]
Oil required by 1 cup of water = [tex]\frac{\frac{1}{4}}{\frac{2}{3}}[/tex]
= [tex]\frac{3}{8}[/tex]
Hence [tex]\frac{3}{8}[/tex] cups of oil is needed for per cup of water.
The oil required for one cup of water is 3/8 cup.
Given that a recipe requires 1/4 cup of oil for every 2/3 cup of water.
The quantities of oil and water are given in fractions. We can write as,
[tex]\dfrac {1}{4}cup \; oil = \dfrac {2}{3} cup\;water[/tex]
[tex]1 cup\;water = \dfrac {\dfrac {1}{4}cup\;oil}{\dfrac{2}{3}}[/tex]
[tex]1cup\;water = \dfrac {3}{8}cup\;oil[/tex]
Hence we can conclude that the oil required for one cup of water is 3/8 cup.
To know more about fractions, folow the link given below.
https://brainly.com/question/1295669.
