Question

9 on winter days, rachel feeds each of her chickens \\(\frac{3}{4}\\) cup of food. on summer days, she feeds each chicken \\(\frac{2}{3}\\) cup of food. how much more food does rachel feed each chicken on winter days? show your work.

Explanation:

Step1: Find a common denominator

To subtract the two fractions, we need a common denominator. The least common denominator of 4 and 3 is 12.
$\frac{3}{4} = \frac{3\times3}{4\times3} = \frac{9}{12}$
$\frac{2}{3} = \frac{2\times4}{3\times4} = \frac{8}{12}$

Step2: Subtract the fractions

Subtract the summer food amount from the winter food amount.
$\frac{9}{12} - \frac{8}{12} = \frac{9 - 8}{12} = \frac{1}{12}$

Answer:

$\frac{1}{12}$ cup