Sue needs 2 1/3 cups of flour for a batch of cookies. How many complete batches can she make with 10 cups of flour?
10 / (2 1/3) = 10 * 3/7 = 30/7 = 4 2/7
so, 4 whole batches
10/(2 1/3) = 10/(7/3) = 10 * 3/7 = 30/7 = 4 2/7 batches = 4 complete batches.
One and one half
4 batches
start root 3 end root
one-half
4 to the 8th power
one-third
81
–7 • –7 • –7 • –7 • –7
To find out how many complete batches Sue can make with 10 cups of flour, we need to divide 10 by the amount of flour required for each batch.
The problem tells us that Sue needs 2 1/3 cups of flour for one batch of cookies. However, it's easier to work with fractions if we convert the mixed number (2 1/3) into an improper fraction.
To convert a mixed number into an improper fraction:
1. Multiply the whole number by the denominator of the fraction.
2. Add the product from step 1 to the numerator.
3. Place the sum from step 2 over the original denominator.
For 2 1/3:
1. Multiply 2 (whole number) by 3 (denominator) to get 6.
2. Add 6 to 1 (numerator) to get 7.
3. Place 7/3 over the original denominator, which gives us 7/3.
So, Sue needs 7/3 cups of flour for one batch of cookies.
Now, to find the number of batches Sue can make with 10 cups of flour:
1. Divide 10 by 7/3.
(When dividing by a fraction, it's equivalent to multiplying by its reciprocal. So, we can rewrite 10 ÷ 7/3 as 10 * 3/7.)
2. Multiply 10 by 3 and divide the result by 7.
Calculating this, we get:
10 * 3 = 30
30 ÷ 7 = 4 remainder 2
Therefore, Sue can make 4 complete batches of cookies with 10 cups of flour, with 2 cups remaining.