At lunch, 3 1/4 small pizzas were equally divided among 4 people. One person eats 1/4 of what he was given. How much of a whole pizza did that person eat
3 1/4 = 13/4
How can that be divided "equally" among 4 people?
Typos?
13/4 / 4 = 13 / 16
To find out how much of a whole pizza that person ate, we need to perform a series of calculations. Let's break it down step by step:
Step 1: Calculate the total amount of small pizzas.
Since there were 3 1/4 small pizzas, we can add 3 to 1/4. The sum is 3 + 1/4 = 3 1/4.
Step 2: Determine the number of pieces each person received.
The small pizzas were equally divided among 4 people, so we need to divide 3 1/4 by 4. To do this, we can convert the mixed fraction to an improper fraction. Multiply the whole number (3) by the denominator (4) and add the numerator (1): (3 * 4) + 1 = 12 + 1 = 13. The fraction becomes 13/4. Now, divide 13/4 by 4: 13/4 รท 4 = 13/4 * 1/4 = 13/16.
Step 3: Calculate how much one person ate.
According to the problem, the person ate 1/4 of what they were given. Multiply 13/16 by 1/4: 13/16 * 1/4 = 13/64.
Therefore, that person ate 13/64 of a whole pizza.