a dog eats 3/4 of dog food for each meal. if he has 7 2/4lbs of food. how many meals can he feed his dog.

3/4 of what?

To find out how many meals the dog can be fed, we need to determine how much food it eats in one meal.

Given that the dog eats 3/4 of the dog food for each meal, and the total amount of food is 7 2/4 lbs, we need to convert the mixed number 7 2/4 to an improper fraction.

First, we convert the whole number (7) to a fraction by multiplying it by the denominator of the fraction (4): 7 x 4 = 28.
Next, we add the numerator (2) to get the final numerator: 28 + 2 = 30.

So, 7 2/4 lbs can be written as an improper fraction as 30/4 lbs.

Now, to find how many meals the dog can be fed, we need to divide the total amount of food (30/4 lbs) by the amount it eats in one meal (3/4).

Dividing fractions involves multiplying the first fraction by the reciprocal of the second fraction.

So, we have: (30/4) ÷ (3/4).
To divide, we multiply by the reciprocal: (30/4) x (4/3).

By multiplying the numerators (30 x 4) and the denominators (4 x 3), we get: (120/12).
Now, we can simplify this fraction by dividing the numerator and denominator by their greatest common divisor (GCD), which is 12.

Dividing both 120 and 12 by 12, we get: (10/1).
Since the denominator is 1, we can conclude that the dog can be fed for 10 meals.

Therefore, the dog can be fed for 10 meals.