Kevin bought 3 pizzas to share with his
family. Together, they ate
1 5/12 pizzas on Monday and another 3/4 of a pizza on
Tuesday. How much pizza is left after Tuesday?
3 - 1 5/12 - 3/4
= 36/12 - 17/12 - 9/12
= 10/12 or 5/6
5/6 pizzas left
To find out how much pizza is left after Tuesday, we need to subtract the amount of pizza eaten from the total amount of pizzas Kevin bought.
First, let's convert the mixed numbers to fractions for easier calculation:
1 5/12 pizzas = (12*1 + 5)/12 = 17/12 pizzas
3/4 of a pizza = 3/4 pizzas
Now, let's add the amounts of pizza eaten on Monday and Tuesday:
17/12 pizzas + 3/4 pizzas = (17/12) + (3/4)
To add these fractions, we need to make sure they have the same denominator. Since 12 and 4 both divide evenly into 12, our common denominator is 12.
(17/12) + (3/4) = (17/12) + (9/12)
Now that the fractions have the same denominator, we can add the numerators:
(17/12) + (9/12) = (17 + 9)/12 = 26/12
The sum of the fractions is 26/12. However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
(26/12) ÷ 2 = (13/6)
Therefore, Kevin and his family ate a total of 13/6 pizzas, and to find out how much pizza is left, we need to subtract this amount from the total number of pizzas they bought.
Let's subtract:
3 pizzas - 13/6 pizzas = (18/6) - (13/6) = 5/6 pizzas
So, after Tuesday, there is 5/6 of a pizza left.