a recipe calls for 2/3 cup of flour i am making a amount that is 3/7 of the recipe how much flour do i need

(2/3) * (3/7) = 6/21 = 2/7 cup

If a recipe calls for 2/3 cup flour and I am making 1/2 how much flour do I need?

To find out how much flour you need for a recipe that is 3/7 of the original recipe, you can follow these steps:

Step 1: Calculate the fraction of flour needed for the original recipe.
Since the original recipe calls for 2/3 cup of flour, the fraction of flour needed for the whole recipe is 2/3.

Step 2: Calculate the fraction of the recipe you are making.
Since you are making 3/7 of the original recipe, the fraction of the recipe you are making is 3/7.

Step 3: Multiply the fraction of flour needed for the whole recipe by the fraction of the recipe you are making.
To find the amount of flour needed for your portion, multiply 2/3 by 3/7:
(2/3) * (3/7) = (2 * 3) / (3 * 7) = 6/21.

Step 4: Simplify the fraction (if needed).
The fraction 6/21 can be simplified by dividing the numerator and denominator by their greatest common divisor, which is 3:
6/21 = (6 ÷ 3) / (21 ÷ 3) = 2/7.

Therefore, to make 3/7 of the recipe, you will need 2/7 cup of flour.