Final answer:
Jake will eat 60 boxes of cereal in a month.
Step-by-step explanation:
To find out how many boxes of cereal Jake will eat in a month, we need to determine the number of boxes he eats in a day and then multiply that by the number of days in a month. Jake eats (1)/(4) of a box of cereal in (1)/(8) of a month.
To find the number of boxes he eats in a day, we can divide (1)/(4) by (1)/(8). When we divide a fraction by another fraction, we can multiply the first fraction by the reciprocal of the second fraction. So, (1)/(4) divided by (1)/(8) is the same as (1)/(4) multiplied by (8)/(1). When we multiply fractions, we multiply the numerators together and the denominators together. So, (1)/(4) multiplied by (8)/(1) is equal to (1*8)/(4*1) = 8/4 = 2.
Therefore, Jake eats 2 boxes of cereal in a day. Now, we need to find out how many days are in a month. A month usually has 30 days. So, we can multiply the number of boxes Jake eats in a day by the number of days in a month to find out how many boxes he eats in a month. 2 multiplied by 30 = 60.
Therefore, Jake will eat 60 boxes of cereal in a month.