You have five cups of bird seed. You use 2/3 cup of bird seed each day. How many days will your bird seed last?
you want to convert cups to days.
Since 2/3 cups = 1 day, 2cups = 3days, or 3days/2cups = 1
so, since you can always multiply by 1 without changing things,
5 cups * (3days)/(2cups) = 15/2 days
To find out how many days the bird seed will last, we need to divide the total amount of bird seed by the amount consumed each day.
Given that you have five cups of bird seed and you use 2/3 cup of bird seed each day, we can set up the following division:
5 cups ÷ (2/3) cup/day
To divide by a fraction, we can multiply by the reciprocal (or the inverted form) of the fraction. The reciprocal of 2/3 is 3/2. Therefore, we can rewrite the division as:
5 cups × (3/2) cup/day
Next, we can cancel out the common units, cups:
5 × (3/2) day
Now, we can simplify the equation:
5 × 3 ÷ 2 = 15/2
The answer is 15/2, which is equivalent to 7.5. So, your bird seed will last for 7.5 days.