4 pizza bought, 1 1/2 have pepperoni. 5/6 of pizza with pepperoni eaten, what fraction of total pizza left has pepperoni
4- 1/1/2 = 2 1/2 Pizzas without pepperoni.
2 1/2 - 5/6 = 5/2 - 5/6 = 15/6 - 5/6 = 10/6 = 5/3 = 1 2/3 pizzas with pepperoni remaining.
4 - 5/6 = 24/6 - 5/6 = 19/6 = 3 1/6 Pizzas left.
(5/3)/(19/6) = 5/3 * 6/19 = 30/57 = 10/19 Of total pizza left has pepperoni.
Correction:
4- 1 1/2 = 2 1/2 Pizza without pepperoni.
1 1/2 - 5/6 = 3/2 - 5/6 = 9/6 - 5/6 = 4/6 = 2/3 Pizza with pepperoni remaining.
4 - 5/6 = 24/6 - 5/6 = 19/6 = 3 1/6 Pizza left.
(2/3)/(19/6) = 2/3 * 6/19 = 12/57 = 4/19 Of total pizza left has pepperoni.
To find the fraction of total pizza left that has pepperoni, we need to calculate the total amount of pizza and the amount of pizza with pepperoni that is left.
First, let's find the total number of pizzas. It is given that 4 pizzas were bought.
Next, let's calculate the total amount of pizza with pepperoni. It is given that 1 1/2 (which is the same as 3/2) pizzas have pepperoni.
To find the amount of pizza with pepperoni eaten, we need to multiply the total amount of pizza with pepperoni by the fraction of pizza eaten. It is given that 5/6 of the pizza with pepperoni was eaten.
So, the amount of pizza with pepperoni eaten is (3/2) * (5/6) = 15/12 = 5/4.
To find the amount of pizza with pepperoni left, we need to subtract the amount of pizza with pepperoni eaten from the total amount of pizza with pepperoni.
Total amount of pizza with pepperoni - Amount of pizza with pepperoni eaten = (3/2) - (5/4) = (6/4) - (5/4) = 1/4.
Therefore, there is 1/4 of the total pizza left that has pepperoni.
To find out what fraction of the total pizza left has pepperoni, we need to first calculate how many pizzas have pepperoni left, and then divide it by the total number of pizzas left.
Step 1: Calculate the number of pizzas with pepperoni left
Out of the 4 pizzas bought, 1 1/2 have pepperoni.
To add 1 1/2 to the whole number 1, we convert the fraction 1/2 to an improper fraction by multiplying the denominator (2) by the whole number (1) and adding the numerator (1). This gives us (2 * 1) + 1 = 3/2.
So, out of the 4 pizzas bought, we have 1 + 3/2 = 2 1/2 pizzas with pepperoni left.
Step 2: Calculate the total number of pizzas left
Since we are not given any information about the pizzas without pepperoni being eaten, we will assume that all pizzas without pepperoni are still intact.
Therefore, the total number of pizzas left is 4 - 5/6 = 3 1/6.
Step 3: Calculate the fraction of total pizza left that has pepperoni
To calculate this fraction, we divide the number of pizzas with pepperoni left (2 1/2) by the total number of pizzas left (3 1/6).
To simplify the process, we convert the mixed numbers to improper fractions:
2 1/2 = (2 * 2) + 1 = 5/2
3 1/6 = (3 * 6) + 1 = 19/6
Now, we divide 5/2 by 19/6:
(5/2) ÷ (19/6) = (5/2) × (6/19) = 30/38
Therefore, the fraction of total pizza left that has pepperoni is 30/38.