Tessa feeds her dog 3 3/4 cups of dog food per day. If she buys a bag of food that has 165 cups how many days will the bag of dog food last?
165 / 3.75 = 44 days
To find out how many days the bag of dog food will last, you need to divide the total number of cups in the bag by the amount of dog food Tessa feeds her dog per day.
First, let's convert the mixed number, 3 3/4, into an improper fraction.
To do this, multiply the whole number, 3, by the denominator, 4, and add the numerator, 3. This gives us a total of 12. Then, we keep the same denominator, 4, to get 12/4.
Next, we add this improper fraction to the whole number. Thus, 3 3/4 equals 15/4.
Now that we have converted 3 3/4 to 15/4, we can proceed with the calculation.
To find the number of days the bag will last, we divide the total number of cups in the bag (165 cups) by the amount of dog food Tessa feeds her dog per day (15/4 cups).
In order to divide fractions, we need to multiply the first fraction (165 cups) by the reciprocal of the second fraction (4/15).
165 cups * (4/15 cups) = (165 * 4) / (1 * 15) = 660/15.
Now we have the result, 660/15, which represents the number of days the bag of dog food will last.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 15.
660/15 = (44 * 15) / (1 * 15) = 44.
Therefore, the bag of dog food will last for 44 days.