Your group is going to Pizzeria Verona to celebrate that summer is coming![br][br]But... in pizzeria Verona, you can buy portions or whole pizzas. [br][br]1) One portion costs 1 euro. [br][br]2) One whole pizza costs 6 euros, and it has 8 portions. [br][br][b]Question 1:[/b] Talk with your group: how many portions does each of you want to eat?[br][br][b]Question 2:[/b] You don't want to waste any money... how should you buy the portions to make it cheap?[br][br]Later you will have to present your solution to the class![br][br][i]Tip: Think about it... how can you express mathematically "one portion of a pizza"?[/i]
This is [b]a whole [/b]pizza[b].[/b]
[b]In the previous problem:[/b][br]How many portions can you obtain from a whole pizza?[br]And from two pizzas?[br]What about five pizzas?[br][br]What fraction of a pizza is 1 portion?[br]What fraction of a pizza are 6 portions?[br]What fraction of a pizza are 12 portions?[br][br][br][b]Definition:[br][/b]A fraction is [b]proper [/b]if the numerator is [b]smaller than[/b] the denominator. [br][br]A fraction is [b]improper[/b] if the numerator is [b]greather than [/b]the denominator.[br][br][br][b]Example:[/b][br][br]Having [math]\text{\frac{10}{8}}[/math] of pizza is the same as having 1 whole pizza and [math]\text{\frac{2}{8}}[/math] from another one![br][br][b]Definition:[/b][br][br]A [b]mixed number [/b]is a way to represent improper fractions, counting the number of units and the portions left.[br][br][b]Example:[/b][br]The mixed number [math]\text{1\frac{2}{8}}[/math] represents one whole pizza and [math]\text{\frac{2}{8}}[/math] of a pizza.
1) [math]\text{\frac{5}{4}}[/math] of a pizza.[br]2) [math]\text{\frac{10}{2}}[/math] of a pizza.[br]3) [math]\text{\frac{25}{6}}[/math] of a pizza.[br]4) [math]\text{\frac{8}{8}}[/math] of a pizza.[br][br][i]Tip: You can use the previous applet![br][br][b]BONUS:[/b] Can you find a way to find mixed numbers from improper fractions without using the applet?[/i]
1) [math]\text{2\frac{2}{8}}[/math] pizzas.[br][br]2) [math]\text{3\frac{1}{2}}[/math] pizzas.[br]3) [math]\text{\frac{7}{8}}[/math] pizzas.[br]4) [math]5\text{\frac{3}{7}}[/math] pizzas.[br][br][b]Question:[/b] Do the portions have the same size in all the previous cases? How can you tell about the size?[br][br][i]Tip: You can use the previous applet![br][br][b]BONUS:[/b] Can you find a way to find mixed numbers from improper fractions without using the applet?[/i]
Translate the fractions to mixed numbers. Once you do it, check your solution using the applet.[br][br]1) [math]\text{\frac{10}{7}}[/math][br]2)[math]\text{\frac{12}{9}}[/math][br]3)[math]\text{\frac{14}{3}}[/math][br]4)[math]\text{\frac{9}{2}}[/math][br][br][b]Free offer! [/b]The chef in pizzeria Verona offers to give you one of the previous amounts of pizza for free! Which one do you choose? Why?
Translate the mixed numbers to fractions. When you finish, check your solutions using the applet.[br][br]1) [math]\text{2\frac{3}{4}}[/math][br]2) [math]\text{3\frac{1}{8}}[/math][br]3) [math]\text{1\frac{1}{5}}[/math][br]4) [math]\text{5\frac{1}{3}}[/math][br][br][b]Free offer! [/b]The chef in pizzeria Verona offers to give you one of the previous amounts of pizza! [br]Which one do you choose? Why?