Rafael wanted to order half a medium pizza at a restaurant. The waiter told him that a medium pizza could be cut into 6 or 8 slices. Would he prefer 3 out of 6 or 4 out of 8 slices? Rafael replies that he isn't very hungry, he would prefer 3 out of 6 slices. Explain what is wrong with Rafael's reason?

The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza

Step-by-step explanation:

* Lets explain how to solve the problem

- When we have a quantity we can divided it to many equivalent

fractions

- Equivalent fractions means fractions equal each other

- We can find the equivalent fraction by multiply or divide the two

terms of the fraction by the same number

- Ex: We can divide a circle into two equal parts each part is 1/2 the

circle, if we multiply each term of the fraction by 2 (up and down)

then we will have 2/4 which is equivalent to 1/2 the circle

- Then we can divide the circle by 2 parts with many equivalent fractions

1/2 = 2/4 = 3/6 = ...

* Lets solve the problem

- Rafael wanted to order half a medium pizza

- The medium pizza could be cut into 6 or 8 slices

∵ The half of 6 is 3/6

∵ The half of 8 is 4/8

- Lets simplify the two fraction

∵ 3/6 = 1/2 by dividing up and down by 3

∵ 4/8 = 1/2 by dividing up and down by 4

∴ There is no difference between the two orders, both of them

equal half the pizza

∴ The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza