Answer:
Yes, it's 4 full batches
Explanation:
so i have 12 cups of granola and 8 1/2 cup peanuts already. it takes 2 3/4 cups of granola AND 1 1/3 cups of peanuts to make a batch/serving of trail mix. To find the number of servings I can make with my 12 cups of granola, you do 12 ÷ 2 3/4.
change 2 3/4 to an improper fraction, 11/4.
To divide fractions flip the divisor 4/11
this gives us 12/1 * 4/11
12*4 = 48 so 48/11 which is 4 4/11 servings of granola but remember we need peanuts too
so we divide the peanuts to find the number of peanut servings i have
8 1/2 ÷ 1 1/3. Change these to improper fraction
17/2 ÷ 4/3, to divide fractions we flip the divisor
17/2 * 3/4 = 51/8
this gives us 6 3/8 peanuts servings
fractions 4/11 and 3/8 aren't whole numbers and we only want full batches so we have 4 full servings/batch of granola and 6 full servings/batches of peanuts. I want to find the smaller amount of servings, because we must have granola AND peanuts. 4<6 so the answer is 4 full batches, but why? Because if we did 5 or 6 full batches there would be not enough granola. If we went more than 5 or 6 there'd be not enough granola or peanuts.