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Hi there! So, you need 1 2/3 cups of flour to make 4 dozens of oatmeal raisin cookies. To find the unit rate of the amount of flour needed per dozen, let’s divide. 5/3 / 4. To divide fractions, keep the first fraction the same, change division into multiplication, and flip the second fraction over. Then, this would be 5/3 * 1/4. Now, multiply straight across. 5/3 * 1/4 is 5/12. 5/12 cup of flour is needed per dozen. To find the amount for 6 dozens, let’s multiply by 6. Multiply the amount needed per dozen by the number of dozens, in this case, 6. 5/12 * 6/1 is 30/12 or 2 1/2 in simplest form. 2 1/2 cups of flour are needed to make 6 dozen cookies.
[tex]2 \dfrac{1}{2}[/tex] cups of flour are needed to make 6 dozen cookies.
What is ratios and proportions?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
you need [tex]1 \dfrac{2}{3}[/tex] cups of flour to make 4 dozens of oatmeal raisin cookies.
To find the unit rate of the amount of flour needed per dozen, let’s divide [tex]\dfrac{5}{3}[/tex] by 4.
To divide fractions, keep the first fraction the same, change division into multiplication, and flip the second fraction over.
Then, this would be
[tex]\dfrac{5}{3}\times \dfrac { 1}{4}=\dfrac{5}{12}[/tex].
So [tex]\dfrac{5}{12}[/tex] cup of flour is needed per dozen.
To find the amount for 6 dozens, let’s multiply by 6.
Multiply the amount needed per dozen by the number of dozens, in this case,
is 30/12 or 2 1/2 in simplest form.
.[tex]6.\times \dfrac{5}{12} \times \dfrac{6}{1} = \dfrac{5}{2}=2\dfrac{1}{2}[/tex]
2 1/2 cups of flour are needed to make 6 dozen cookies.
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