A certain recipe requires 2 3/5 cups of flour, and 3 1/4 cups of sugar.
a) if 3/8 of the recipe is to be made how much sugar is needed?
b) if the above ingredients are required for one batch, find the amount of flour needed for a triple batch.
sugar 3 1/4 cups = 13/4 cups
Multiply 13/4 times 3/8
(13 x 3)/(4 x 8)
leave in simplest form. Most likely you should convert back to a mixed number.
flour triple batch means to multiply by 3
2 3/5 cups = 13/5 multiply by 3/1
39/5 = changed back to a mixed number.
To solve these problems, we will use basic arithmetic operations like addition, subtraction, multiplication, and division.
a) To find out how much sugar is needed for 3/8 of the recipe, we first need to find out the total amount of sugar needed for the entire recipe.
The recipe requires 3 1/4 cups of sugar. To add the fractional part, we can convert the mixed number to an improper fraction:
3 1/4 = (3 * 4 + 1) / 4 = 13 / 4
Now, to find 3/8 of 13/4, we multiply the fractions:
(3/8) * (13/4) = (3 * 13) / (8 * 4) = 39 / 32
The answer, 39/32, is the amount of sugar needed for 3/8 of the recipe.
b) To find the amount of flour needed for a triple batch, we first need to find the amount of flour needed for one batch.
The recipe requires 2 3/5 cups of flour. Converting the mixed number to an improper fraction:
2 3/5 = (2 * 5 + 3) / 5 = 13 / 5
Now, to find the amount of flour needed for a triple batch, we multiply 13/5 by 3:
(13/5) * 3 = (13 * 3) / 5 = 39 / 5
The answer, 39/5, is the amount of flour needed for a triple batch.