To find out how many cups of flour Bertie needs, you need to multiply the number of pans of biscuits she wants to bake by the amount of flour needed for each pan.
Number of pans: 3 1/2
Amount of flour needed for each pan: 2 1/3 cups
To convert the number of pans to a fraction, we can represent 3 as 6/2 and add it to 1/2. This gives us 6/2 + 1/2 = 7/2.
Now we can multiply the number of pans by the amount of flour needed for each pan:
7/2 x 2 1/3
To multiply a whole number by a fraction, convert the whole number to a fraction with a denominator of 1:
7/1 x 2 1/3
To multiply fractions, multiply the numerators together and the denominators together:
(7/1) x (7/3) = (7*7)/(1*3) = 49/3
The result is 49/3.
To convert the fraction 49/3 to a mixed number, divide the numerator (49) by the denominator (3):
49 รท 3 = 16 R 1
The whole number is the quotient (16), and the remainder becomes the numerator of the fraction (1). The denominator stays the same (3).
So, Bertie needs 16 1/3 cups of flour.