1 / ( 3 / 4 ) = 4 / 3
( 4 / 3 ) ∙ 2.5 cups = 10 cups / 3 = 3.333... cups
If our recipe calls for 2 1/2 cups flour for every 3/4 cup sugar,
how much flour is needed if we used 1 cup of sugar?
4 answers
2 1/2 cups flour for every 3/4 cup sugar
That is 5/2 f = 3/4 s
In other words, (5/2 f)/(3/4 s) = (3/4 s)/(5/2 f) = 1
Now you just want to convert cups of sugar (s) to cups of flour (f)
You can always multiply by 1 without changing anything. So, since you want to get rid of the s and keep the f, pick the proper fraction so the s units cancel.
1s = 1s * (5/2 f)/(3/4 s) = (5/2)/(3/4) f = (5/2 * 4/3) f = 10/3 f
as above
That is 5/2 f = 3/4 s
In other words, (5/2 f)/(3/4 s) = (3/4 s)/(5/2 f) = 1
Now you just want to convert cups of sugar (s) to cups of flour (f)
You can always multiply by 1 without changing anything. So, since you want to get rid of the s and keep the f, pick the proper fraction so the s units cancel.
1s = 1s * (5/2 f)/(3/4 s) = (5/2)/(3/4) f = (5/2 * 4/3) f = 10/3 f
as above
The recipe calls for 3 1/2 cups of flour for every 1/4 cup of sugar.How many cups of flour should use for 2 cups of sugar
I don't.know