Question

Of the pizzas sold last week at Sara‘s pizzeria, 2/9 were large pizzas and 1/3 were extra-large pizzas. What fraction of all the pizzas sold were there two sizes?

Answer 1

2/9 of the pizzas sold were large and 1/3 were extra-large, which is the equivalent of 3/9. When you add these fractions together, you get 5/9, meaning that 5/9 of all pizzas sold were large or extra-large.

Step-by-step explanation:

You're looking to find out what fraction of all pizzas sold were large and extra-large combined. To solve this, you'll need to add the fractions of large pizzas (2/9) and extra-large pizzas (1/3) together.

First, find a common denominator for the two fractions. The smallest common denominator for 9 and 3 is 9. You can leave the fraction of large pizzas as 2/9, but you have to convert the fraction of extra-large pizzas to have the same denominator. To do that, multiply both the numerator and the denominator of 1/3 by 3, which gives you 3/9. Now, you can add the two fractions:

Large pizzas: 2/9
Extra-large pizzas: 3/9 (which is the same as 1/3)

So, 2/9 + 3/9 = 5/9

Therefore, 5/9 of all pizzas sold were either large or extra-large sizes. This is more than half of the pizzas sold. Understanding fractions and how to combine them can really help with these types of problems.